%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP707-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:28:15 PM UTC 2026
% Result : Unsatisfiable 12.76s 2.06s
% Output : CNFRefutation 12.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 94
% Number of leaves : 10
% Syntax : Number of clauses : 325 ( 325 unt; 0 nHn; 4 RR)
% Number of literals : 325 ( 324 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 575 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t5,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t15,plain,
rd(mult(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t5]) ).
cnf(t8,axiom,
mult(mult(mult(X1,X2),X2),X3) = mult(X1,mult(X2,mult(X2,X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t33,plain,
mult(mult(mult(X1,X2),X2),X3) = mult(X1,mult(X2,mult(X2,X3))),
inference(orient,[status(thm)],[t8]) ).
cnf(t0,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t10,plain,
mult(X1,unit) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t35,plain,
mult(X1,mult(X2,mult(X2,unit))) = mult(mult(X1,X2),X2),
inference(cp,[status(thm)],[t33,t10]) ).
cnf(t6037,plain,
mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2),
inference(step,[status(thm)],[t35,t10]) ).
cnf(t72,plain,
mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
inference(orient,[status(thm)],[t6037]) ).
cnf(t81,plain,
mult(X1,X2) = rd(mult(X1,mult(X2,X2)),X2),
inference(cp,[status(thm)],[t15,t72]) ).
cnf(t111,plain,
rd(mult(X1,mult(X2,X2)),X2) = mult(X1,X2),
inference(orient,[status(thm)],[t81]) ).
cnf(t4,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t13,plain,
mult(rd(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t113,plain,
mult(rd(X1,mult(X2,X2)),X2) = rd(X1,X2),
inference(cp,[status(thm)],[t111,t13]) ).
cnf(t224,plain,
mult(rd(X1,mult(X2,X2)),X2) = rd(X1,X2),
inference(orient,[status(thm)],[t113]) ).
cnf(t76,plain,
mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2),
inference(cp,[status(thm)],[t72,t13]) ).
cnf(t101,plain,
mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2),
inference(orient,[status(thm)],[t76]) ).
cnf(t7,axiom,
mult(mult(X1,X1),X2) = mult(X2,mult(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t23,plain,
mult(X1,mult(X2,X2)) = mult(mult(X2,X2),X1),
inference(orient,[status(thm)],[t7]) ).
cnf(t102,plain,
mult(X1,X2) = mult(mult(X2,X2),rd(X1,X2)),
inference(cp,[status(thm)],[t101,t23]) ).
cnf(t136,plain,
mult(mult(X1,X1),rd(X2,X1)) = mult(X2,X1),
inference(orient,[status(thm)],[t102]) ).
cnf(t6038,plain,
mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))),
inference(step,[status(thm)],[t33,t72]) ).
cnf(t82,plain,
mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))),
inference(rw,[status(thm)],[t6038]) ).
cnf(t765,plain,
mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))),
inference(orient,[status(thm)],[t82]) ).
cnf(t114,plain,
mult(X1,X2) = rd(mult(mult(X2,X2),X1),X2),
inference(cp,[status(thm)],[t111,t23]) ).
cnf(t236,plain,
rd(mult(mult(X1,X1),X2),X1) = mult(X2,X1),
inference(orient,[status(thm)],[t114]) ).
cnf(t2,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t19,plain,
ld(X1,mult(X1,X2)) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t108,plain,
mult(X1,X1) = ld(rd(X2,X1),mult(X2,X1)),
inference(cp,[status(thm)],[t19,t101]) ).
cnf(t148,plain,
ld(rd(X1,X2),mult(X1,X2)) = mult(X2,X2),
inference(orient,[status(thm)],[t108]) ).
cnf(t1,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
mult(unit,X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t160,plain,
mult(X1,X1) = ld(rd(unit,X1),X1),
inference(cp,[status(thm)],[t148,t11]) ).
cnf(t164,plain,
ld(rd(unit,X1),X1) = mult(X1,X1),
inference(orient,[status(thm)],[t160]) ).
cnf(t3,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
mult(X1,ld(X1,X2)) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t16,plain,
X1 = rd(X2,ld(X1,X2)),
inference(cp,[status(thm)],[t15,t9]) ).
cnf(t61,plain,
rd(X1,ld(X2,X1)) = X2,
inference(orient,[status(thm)],[t16]) ).
cnf(t166,plain,
mult(ld(X1,unit),ld(X1,unit)) = ld(X1,ld(X1,unit)),
inference(cp,[status(thm)],[t164,t61]) ).
cnf(t6,axiom,
mult(X1,mult(X1,mult(X1,X1))) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t50,plain,
mult(X1,mult(X1,mult(X1,X1))) = unit,
inference(orient,[status(thm)],[t6]) ).
cnf(t54,plain,
mult(X1,mult(X1,X1)) = ld(X1,unit),
inference(cp,[status(thm)],[t19,t50]) ).
cnf(t63,plain,
mult(X1,mult(X1,X1)) = ld(X1,unit),
inference(orient,[status(thm)],[t54]) ).
cnf(t66,plain,
mult(X1,X1) = ld(X1,ld(X1,unit)),
inference(cp,[status(thm)],[t19,t63]) ).
cnf(t69,plain,
ld(X1,ld(X1,unit)) = mult(X1,X1),
inference(orient,[status(thm)],[t66]) ).
cnf(t6039,plain,
mult(ld(X1,unit),ld(X1,unit)) = mult(X1,X1),
inference(step,[status(thm)],[t166,t69]) ).
cnf(t247,plain,
mult(ld(X1,unit),ld(X1,unit)) = mult(X1,X1),
inference(orient,[status(thm)],[t6039]) ).
cnf(t256,plain,
mult(ld(X1,unit),mult(ld(X1,unit),ld(X1,unit))) = mult(mult(X1,X1),ld(X1,unit)),
inference(cp,[status(thm)],[t72,t247]) ).
cnf(t6046,plain,
ld(ld(X1,unit),unit) = mult(mult(X1,X1),ld(X1,unit)),
inference(step,[status(thm)],[t256,t63]) ).
cnf(t338,plain,
mult(mult(X1,X1),ld(X1,unit)) = ld(ld(X1,unit),unit),
inference(orient,[status(thm)],[t6046]) ).
cnf(t343,plain,
mult(ld(X1,unit),X1) = rd(ld(ld(X1,unit),unit),X1),
inference(cp,[status(thm)],[t236,t338]) ).
cnf(t32,plain,
mult(X1,X1) = rd(mult(X2,mult(X1,X1)),X2),
inference(cp,[status(thm)],[t15,t23]) ).
cnf(t90,plain,
rd(mult(X1,mult(X2,X2)),X1) = mult(X2,X2),
inference(orient,[status(thm)],[t32]) ).
cnf(t91,plain,
mult(X1,X1) = rd(ld(X1,unit),X1),
inference(cp,[status(thm)],[t90,t63]) ).
cnf(t96,plain,
rd(ld(X1,unit),X1) = mult(X1,X1),
inference(orient,[status(thm)],[t91]) ).
cnf(t104,plain,
mult(ld(X1,unit),X1) = mult(mult(X1,X1),mult(X1,X1)),
inference(cp,[status(thm)],[t101,t96]) ).
cnf(t291,plain,
mult(mult(X1,X1),mult(X1,X1)) = mult(ld(X1,unit),X1),
inference(orient,[status(thm)],[t104]) ).
cnf(t21,plain,
X1 = ld(rd(X2,X1),X2),
inference(cp,[status(thm)],[t19,t13]) ).
cnf(t62,plain,
ld(rd(X1,X2),X1) = X2,
inference(orient,[status(thm)],[t21]) ).
cnf(t249,plain,
mult(rd(unit,X1),rd(unit,X1)) = mult(X1,ld(rd(unit,X1),unit)),
inference(cp,[status(thm)],[t247,t62]) ).
cnf(t6040,plain,
mult(rd(unit,X1),rd(unit,X1)) = mult(X1,X1),
inference(step,[status(thm)],[t249,t62]) ).
cnf(t265,plain,
mult(rd(unit,X1),rd(unit,X1)) = mult(X1,X1),
inference(orient,[status(thm)],[t6040]) ).
cnf(t292,plain,
mult(ld(rd(unit,X1),unit),rd(unit,X1)) = mult(mult(X1,X1),mult(rd(unit,X1),rd(unit,X1))),
inference(cp,[status(thm)],[t291,t265]) ).
cnf(t6041,plain,
mult(X1,rd(unit,X1)) = mult(mult(X1,X1),mult(rd(unit,X1),rd(unit,X1))),
inference(step,[status(thm)],[t292,t62]) ).
cnf(t6042,plain,
mult(X1,rd(unit,X1)) = mult(mult(X1,X1),mult(X1,X1)),
inference(step,[status(thm)],[t6041,t265]) ).
cnf(t6043,plain,
mult(X1,rd(unit,X1)) = mult(ld(X1,unit),X1),
inference(step,[status(thm)],[t6042,t291]) ).
cnf(t318,plain,
mult(ld(X1,unit),X1) = mult(X1,rd(unit,X1)),
inference(orient,[status(thm)],[t6043]) ).
cnf(t6047,plain,
mult(X1,rd(unit,X1)) = rd(ld(ld(X1,unit),unit),X1),
inference(step,[status(thm)],[t343,t318]) ).
cnf(t364,plain,
rd(ld(ld(X1,unit),unit),X1) = mult(X1,rd(unit,X1)),
inference(orient,[status(thm)],[t6047]) ).
cnf(t373,plain,
ld(ld(X1,unit),unit) = mult(mult(X1,rd(unit,X1)),X1),
inference(cp,[status(thm)],[t13,t364]) ).
cnf(t418,plain,
mult(mult(X1,rd(unit,X1)),X1) = ld(ld(X1,unit),unit),
inference(orient,[status(thm)],[t373]) ).
cnf(t109,plain,
rd(X1,X2) = rd(mult(X1,X2),mult(X2,X2)),
inference(cp,[status(thm)],[t15,t101]) ).
cnf(t179,plain,
rd(mult(X1,X2),mult(X2,X2)) = rd(X1,X2),
inference(orient,[status(thm)],[t109]) ).
cnf(t183,plain,
rd(rd(X1,X2),X2) = rd(X1,mult(X2,X2)),
inference(cp,[status(thm)],[t179,t13]) ).
cnf(t191,plain,
rd(rd(X1,X2),X2) = rd(X1,mult(X2,X2)),
inference(orient,[status(thm)],[t183]) ).
cnf(t167,plain,
rd(unit,X1) = rd(X1,mult(X1,X1)),
inference(cp,[status(thm)],[t61,t164]) ).
cnf(t168,plain,
rd(X1,mult(X1,X1)) = rd(unit,X1),
inference(orient,[status(thm)],[t167]) ).
cnf(t267,plain,
rd(unit,rd(unit,X1)) = rd(rd(unit,X1),mult(X1,X1)),
inference(cp,[status(thm)],[t168,t265]) ).
cnf(t353,plain,
rd(rd(unit,X1),mult(X1,X1)) = rd(unit,rd(unit,X1)),
inference(orient,[status(thm)],[t267]) ).
cnf(t363,plain,
rd(rd(unit,X1),X1) = mult(rd(unit,rd(unit,X1)),X1),
inference(cp,[status(thm)],[t224,t353]) ).
cnf(t6056,plain,
rd(unit,mult(X1,X1)) = mult(rd(unit,rd(unit,X1)),X1),
inference(step,[status(thm)],[t363,t191]) ).
cnf(t405,plain,
mult(rd(unit,rd(unit,X1)),X1) = rd(unit,mult(X1,X1)),
inference(orient,[status(thm)],[t6056]) ).
cnf(t415,plain,
rd(unit,rd(unit,X1)) = rd(rd(unit,mult(X1,X1)),X1),
inference(cp,[status(thm)],[t15,t405]) ).
cnf(t477,plain,
rd(rd(unit,mult(X1,X1)),X1) = rd(unit,rd(unit,X1)),
inference(orient,[status(thm)],[t415]) ).
cnf(t481,plain,
rd(rd(unit,mult(X1,X1)),mult(X1,X1)) = rd(rd(unit,rd(unit,X1)),X1),
inference(cp,[status(thm)],[t191,t477]) ).
cnf(t6073,plain,
rd(unit,mult(mult(X1,X1),mult(X1,X1))) = rd(rd(unit,rd(unit,X1)),X1),
inference(step,[status(thm)],[t481,t191]) ).
cnf(t6044,plain,
mult(mult(X1,X1),mult(X1,X1)) = mult(X1,rd(unit,X1)),
inference(step,[status(thm)],[t291,t318]) ).
cnf(t319,plain,
mult(mult(X1,X1),mult(X1,X1)) = mult(X1,rd(unit,X1)),
inference(orient,[status(thm)],[t6044]) ).
cnf(t6074,plain,
rd(unit,mult(X1,rd(unit,X1))) = rd(rd(unit,rd(unit,X1)),X1),
inference(step,[status(thm)],[t6073,t319]) ).
cnf(t406,plain,
rd(unit,mult(mult(X1,X1),mult(X1,X1))) = mult(mult(X1,X1),rd(unit,rd(unit,mult(X1,X1)))),
inference(cp,[status(thm)],[t405,t23]) ).
cnf(t6061,plain,
rd(unit,mult(X1,rd(unit,X1))) = mult(mult(X1,X1),rd(unit,rd(unit,mult(X1,X1)))),
inference(step,[status(thm)],[t406,t319]) ).
cnf(t93,plain,
mult(X1,X1) = rd(X2,rd(X2,mult(X1,X1))),
inference(cp,[status(thm)],[t90,t13]) ).
cnf(t132,plain,
rd(X1,rd(X1,mult(X2,X2))) = mult(X2,X2),
inference(orient,[status(thm)],[t93]) ).
cnf(t6062,plain,
rd(unit,mult(X1,rd(unit,X1))) = mult(mult(X1,X1),mult(X1,X1)),
inference(step,[status(thm)],[t6061,t132]) ).
cnf(t6063,plain,
rd(unit,mult(X1,rd(unit,X1))) = mult(X1,rd(unit,X1)),
inference(step,[status(thm)],[t6062,t319]) ).
cnf(t452,plain,
rd(unit,mult(X1,rd(unit,X1))) = mult(X1,rd(unit,X1)),
inference(orient,[status(thm)],[t6063]) ).
cnf(t6075,plain,
mult(X1,rd(unit,X1)) = rd(rd(unit,rd(unit,X1)),X1),
inference(step,[status(thm)],[t6074,t452]) ).
cnf(t513,plain,
rd(rd(unit,rd(unit,X1)),X1) = mult(X1,rd(unit,X1)),
inference(orient,[status(thm)],[t6075]) ).
cnf(t521,plain,
rd(unit,rd(unit,X1)) = mult(mult(X1,rd(unit,X1)),X1),
inference(cp,[status(thm)],[t13,t513]) ).
cnf(t6076,plain,
rd(unit,rd(unit,X1)) = ld(ld(X1,unit),unit),
inference(step,[status(thm)],[t521,t418]) ).
cnf(t522,plain,
ld(ld(X1,unit),unit) = rd(unit,rd(unit,X1)),
inference(orient,[status(thm)],[t6076]) ).
cnf(t6081,plain,
mult(mult(X1,rd(unit,X1)),X1) = rd(unit,rd(unit,X1)),
inference(step,[status(thm)],[t418,t522]) ).
cnf(t527,plain,
mult(mult(X1,rd(unit,X1)),X1) = rd(unit,rd(unit,X1)),
inference(orient,[status(thm)],[t6081]) ).
cnf(t777,plain,
mult(mult(mult(X1,X1),rd(unit,mult(X1,X1))),mult(X1,mult(X1,X2))) = mult(rd(unit,rd(unit,mult(X1,X1))),X2),
inference(cp,[status(thm)],[t765,t527]) ).
cnf(t24,plain,
mult(mult(X1,X1),rd(X2,mult(X1,X1))) = X2,
inference(cp,[status(thm)],[t23,t13]) ).
cnf(t376,plain,
mult(mult(X1,X1),rd(X2,mult(X1,X1))) = X2,
inference(orient,[status(thm)],[t24]) ).
cnf(t6106,plain,
mult(unit,mult(X1,mult(X1,X2))) = mult(rd(unit,rd(unit,mult(X1,X1))),X2),
inference(step,[status(thm)],[t777,t376]) ).
cnf(t6107,plain,
mult(X1,mult(X1,X2)) = mult(rd(unit,rd(unit,mult(X1,X1))),X2),
inference(step,[status(thm)],[t6106,t11]) ).
cnf(t6108,plain,
mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2),
inference(step,[status(thm)],[t6107,t132]) ).
cnf(t854,plain,
mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
inference(orient,[status(thm)],[t6108]) ).
cnf(t6115,plain,
mult(X1,mult(X1,rd(X2,X1))) = mult(X2,X1),
inference(step,[status(thm)],[t136,t854]) ).
cnf(t904,plain,
mult(X1,mult(X1,rd(X2,X1))) = mult(X2,X1),
inference(rw,[status(thm)],[t6115]) ).
cnf(t1010,plain,
mult(X1,mult(X1,rd(X2,X1))) = mult(X2,X1),
inference(orient,[status(thm)],[t904]) ).
cnf(t1017,plain,
mult(mult(X1,X2),X2) = mult(X2,mult(X2,X1)),
inference(cp,[status(thm)],[t1010,t15]) ).
cnf(t870,plain,
rd(X1,mult(X2,X2)) = rd(mult(X1,mult(X2,X2)),mult(X2,mult(X2,mult(X2,X2)))),
inference(cp,[status(thm)],[t179,t854]) ).
cnf(t6182,plain,
rd(X1,mult(X2,X2)) = rd(mult(X1,mult(X2,X2)),unit),
inference(step,[status(thm)],[t870,t50]) ).
cnf(t14,plain,
X1 = rd(X1,unit),
inference(cp,[status(thm)],[t13,t10]) ).
cnf(t58,plain,
rd(X1,unit) = X1,
inference(orient,[status(thm)],[t14]) ).
cnf(t6183,plain,
rd(X1,mult(X2,X2)) = mult(X1,mult(X2,X2)),
inference(step,[status(thm)],[t6182,t58]) ).
cnf(t978,plain,
mult(X1,mult(X2,X2)) = rd(X1,mult(X2,X2)),
inference(orient,[status(thm)],[t6183]) ).
cnf(t6184,plain,
mult(mult(X1,X2),X2) = rd(X1,mult(X2,X2)),
inference(step,[status(thm)],[t72,t978]) ).
cnf(t979,plain,
mult(mult(X1,X2),X2) = rd(X1,mult(X2,X2)),
inference(orient,[status(thm)],[t6184]) ).
cnf(t6193,plain,
rd(X1,mult(X2,X2)) = mult(X2,mult(X2,X1)),
inference(step,[status(thm)],[t1017,t979]) ).
cnf(t1027,plain,
mult(X1,mult(X1,X2)) = rd(X2,mult(X1,X1)),
inference(orient,[status(thm)],[t6193]) ).
cnf(t1031,plain,
rd(ld(X1,X2),mult(X1,X1)) = mult(X1,X2),
inference(cp,[status(thm)],[t1027,t9]) ).
cnf(t1087,plain,
rd(ld(X1,X2),mult(X1,X1)) = mult(X1,X2),
inference(orient,[status(thm)],[t1031]) ).
cnf(t1102,plain,
rd(ld(X1,X2),X1) = mult(mult(X1,X2),X1),
inference(cp,[status(thm)],[t224,t1087]) ).
cnf(t1117,plain,
mult(mult(X1,X2),X1) = rd(ld(X1,X2),X1),
inference(orient,[status(thm)],[t1102]) ).
cnf(t79,plain,
mult(mult(X1,X2),mult(X2,X2)) = mult(mult(X1,mult(X2,X2)),X2),
inference(cp,[status(thm)],[t72,t72]) ).
cnf(t745,plain,
mult(mult(X1,mult(X2,X2)),X2) = mult(mult(X1,X2),mult(X2,X2)),
inference(orient,[status(thm)],[t79]) ).
cnf(t6103,plain,
mult(X1,mult(X2,mult(X2,X2))) = mult(mult(X1,X2),mult(X2,X2)),
inference(step,[status(thm)],[t745,t765]) ).
cnf(t6104,plain,
mult(X1,ld(X2,unit)) = mult(mult(X1,X2),mult(X2,X2)),
inference(step,[status(thm)],[t6103,t63]) ).
cnf(t852,plain,
mult(X1,ld(X2,unit)) = mult(mult(X1,X2),mult(X2,X2)),
inference(rw,[status(thm)],[t6104]) ).
cnf(t6077,plain,
mult(mult(X1,X1),ld(X1,unit)) = rd(unit,rd(unit,X1)),
inference(step,[status(thm)],[t338,t522]) ).
cnf(t523,plain,
mult(mult(X1,X1),ld(X1,unit)) = rd(unit,rd(unit,X1)),
inference(orient,[status(thm)],[t6077]) ).
cnf(t6110,plain,
mult(X1,mult(X1,ld(X1,unit))) = rd(unit,rd(unit,X1)),
inference(step,[status(thm)],[t523,t854]) ).
cnf(t6111,plain,
mult(X1,unit) = rd(unit,rd(unit,X1)),
inference(step,[status(thm)],[t6110,t9]) ).
cnf(t6112,plain,
X1 = rd(unit,rd(unit,X1)),
inference(step,[status(thm)],[t6111,t10]) ).
cnf(t902,plain,
X1 = rd(unit,rd(unit,X1)),
inference(rw,[status(thm)],[t6112]) ).
cnf(t910,plain,
rd(unit,rd(unit,X1)) = X1,
inference(orient,[status(thm)],[t902]) ).
cnf(t929,plain,
ld(X1,unit) = rd(unit,X1),
inference(cp,[status(thm)],[t910,t61]) ).
cnf(t950,plain,
ld(X1,unit) = rd(unit,X1),
inference(orient,[status(thm)],[t929]) ).
cnf(t6214,plain,
mult(X1,rd(unit,X2)) = mult(mult(X1,X2),mult(X2,X2)),
inference(step,[status(thm)],[t852,t950]) ).
cnf(t6215,plain,
mult(X1,rd(unit,X2)) = rd(mult(X1,X2),mult(X2,X2)),
inference(step,[status(thm)],[t6214,t978]) ).
cnf(t6216,plain,
mult(X1,rd(unit,X2)) = rd(X1,X2),
inference(step,[status(thm)],[t6215,t179]) ).
cnf(t1340,plain,
mult(X1,rd(unit,X2)) = rd(X1,X2),
inference(orient,[status(thm)],[t6216]) ).
cnf(t1365,plain,
rd(unit,X1) = ld(X2,rd(X2,X1)),
inference(cp,[status(thm)],[t19,t1340]) ).
cnf(t1378,plain,
ld(X1,rd(X1,X2)) = rd(unit,X2),
inference(orient,[status(thm)],[t1365]) ).
cnf(t6190,plain,
rd(rd(X1,mult(X2,X2)),X1) = mult(X2,X2),
inference(step,[status(thm)],[t90,t978]) ).
cnf(t989,plain,
rd(rd(X1,mult(X2,X2)),X1) = mult(X2,X2),
inference(rw,[status(thm)],[t6190]) ).
cnf(t1057,plain,
rd(rd(X1,mult(X2,X2)),X1) = mult(X2,X2),
inference(orient,[status(thm)],[t989]) ).
cnf(t1099,plain,
mult(X1,X1) = rd(mult(X1,X2),ld(X1,X2)),
inference(cp,[status(thm)],[t1057,t1087]) ).
cnf(t1252,plain,
rd(mult(X1,X2),ld(X1,X2)) = mult(X1,X1),
inference(orient,[status(thm)],[t1099]) ).
cnf(t1392,plain,
mult(X1,X1) = rd(mult(X1,rd(X1,X2)),rd(unit,X2)),
inference(cp,[status(thm)],[t1252,t1378]) ).
cnf(t1343,plain,
rd(rd(X1,mult(rd(unit,X2),rd(unit,X2))),X2) = rd(X1,rd(unit,X2)),
inference(cp,[status(thm)],[t1340,t224]) ).
cnf(t6217,plain,
rd(rd(X1,mult(X2,X2)),X2) = rd(X1,rd(unit,X2)),
inference(step,[status(thm)],[t1343,t265]) ).
cnf(t6120,plain,
rd(mult(X1,mult(X1,X2)),X1) = mult(X2,X1),
inference(step,[status(thm)],[t236,t854]) ).
cnf(t909,plain,
rd(mult(X1,mult(X1,X2)),X1) = mult(X2,X1),
inference(rw,[status(thm)],[t6120]) ).
cnf(t6198,plain,
rd(rd(X2,mult(X1,X1)),X1) = mult(X2,X1),
inference(step,[status(thm)],[t909,t1027]) ).
cnf(t1044,plain,
rd(rd(X1,mult(X2,X2)),X2) = mult(X1,X2),
inference(orient,[status(thm)],[t6198]) ).
cnf(t6218,plain,
mult(X1,X2) = rd(X1,rd(unit,X2)),
inference(step,[status(thm)],[t6217,t1044]) ).
cnf(t1372,plain,
rd(X1,rd(unit,X2)) = mult(X1,X2),
inference(orient,[status(thm)],[t6218]) ).
cnf(t6221,plain,
mult(X1,X1) = mult(mult(X1,rd(X1,X2)),X2),
inference(step,[status(thm)],[t1392,t1372]) ).
cnf(t1484,plain,
mult(mult(X1,rd(X1,X2)),X2) = mult(X1,X1),
inference(orient,[status(thm)],[t6221]) ).
cnf(t1516,plain,
mult(X1,rd(X1,X2)) = rd(mult(X1,X1),X2),
inference(cp,[status(thm)],[t15,t1484]) ).
cnf(t1517,plain,
mult(X1,rd(X1,X2)) = rd(mult(X1,X1),X2),
inference(orient,[status(thm)],[t1516]) ).
cnf(t1041,plain,
X1 = rd(rd(X2,mult(X1,X1)),mult(X1,X2)),
inference(cp,[status(thm)],[t15,t1027]) ).
cnf(t2437,plain,
rd(rd(X1,mult(X2,X2)),mult(X2,X1)) = X2,
inference(orient,[status(thm)],[t1041]) ).
cnf(t2468,plain,
rd(mult(rd(X1,mult(X2,X2)),rd(X1,mult(X2,X2))),mult(X2,X1)) = mult(rd(X1,mult(X2,X2)),X2),
inference(cp,[status(thm)],[t1517,t2437]) ).
cnf(t149,plain,
mult(rd(X1,mult(X2,X2)),rd(X1,mult(X2,X2))) = ld(mult(X2,X2),mult(X1,rd(X1,mult(X2,X2)))),
inference(cp,[status(thm)],[t148,t132]) ).
cnf(t25,plain,
mult(X1,X1) = ld(X2,mult(mult(X1,X1),X2)),
inference(cp,[status(thm)],[t19,t23]) ).
cnf(t85,plain,
ld(X1,mult(mult(X2,X2),X1)) = mult(X2,X2),
inference(orient,[status(thm)],[t25]) ).
cnf(t87,plain,
mult(X1,X1) = ld(ld(mult(X1,X1),X2),X2),
inference(cp,[status(thm)],[t85,t9]) ).
cnf(t118,plain,
ld(ld(mult(X1,X1),X2),X2) = mult(X1,X1),
inference(orient,[status(thm)],[t87]) ).
cnf(t124,plain,
ld(mult(X1,X1),X2) = rd(X2,mult(X1,X1)),
inference(cp,[status(thm)],[t61,t118]) ).
cnf(t125,plain,
ld(mult(X1,X1),X2) = rd(X2,mult(X1,X1)),
inference(orient,[status(thm)],[t124]) ).
cnf(t6236,plain,
mult(rd(X1,mult(X2,X2)),rd(X1,mult(X2,X2))) = rd(mult(X1,rd(X1,mult(X2,X2))),mult(X2,X2)),
inference(step,[status(thm)],[t149,t125]) ).
cnf(t6237,plain,
mult(rd(X1,mult(X2,X2)),rd(X1,mult(X2,X2))) = rd(rd(mult(X1,X1),mult(X2,X2)),mult(X2,X2)),
inference(step,[status(thm)],[t6236,t1517]) ).
cnf(t6238,plain,
mult(rd(X1,mult(X2,X2)),rd(X1,mult(X2,X2))) = rd(mult(X1,X1),mult(mult(X2,X2),mult(X2,X2))),
inference(step,[status(thm)],[t6237,t191]) ).
cnf(t6194,plain,
mult(mult(X1,X1),X2) = rd(X2,mult(X1,X1)),
inference(step,[status(thm)],[t854,t1027]) ).
cnf(t1028,plain,
mult(mult(X1,X1),X2) = rd(X2,mult(X1,X1)),
inference(orient,[status(thm)],[t6194]) ).
cnf(t6239,plain,
mult(rd(X1,mult(X2,X2)),rd(X1,mult(X2,X2))) = rd(mult(X1,X1),rd(mult(X2,X2),mult(X2,X2))),
inference(step,[status(thm)],[t6238,t1028]) ).
cnf(t6240,plain,
mult(rd(X1,mult(X2,X2)),rd(X1,mult(X2,X2))) = rd(mult(X1,X1),rd(X2,X2)),
inference(step,[status(thm)],[t6239,t179]) ).
cnf(t18,plain,
unit = rd(X1,X1),
inference(cp,[status(thm)],[t15,t11]) ).
cnf(t59,plain,
rd(X1,X1) = unit,
inference(orient,[status(thm)],[t18]) ).
cnf(t6241,plain,
mult(rd(X1,mult(X2,X2)),rd(X1,mult(X2,X2))) = rd(mult(X1,X1),unit),
inference(step,[status(thm)],[t6240,t59]) ).
cnf(t6242,plain,
mult(rd(X1,mult(X2,X2)),rd(X1,mult(X2,X2))) = mult(X1,X1),
inference(step,[status(thm)],[t6241,t58]) ).
cnf(t2202,plain,
mult(rd(X1,mult(X2,X2)),rd(X1,mult(X2,X2))) = mult(X1,X1),
inference(orient,[status(thm)],[t6242]) ).
cnf(t6245,plain,
rd(mult(X1,X1),mult(X2,X1)) = mult(rd(X1,mult(X2,X2)),X2),
inference(step,[status(thm)],[t2468,t2202]) ).
cnf(t110,plain,
mult(X1,X1) = rd(mult(X2,X1),rd(X2,X1)),
inference(cp,[status(thm)],[t90,t101]) ).
cnf(t204,plain,
rd(mult(X1,X2),rd(X1,X2)) = mult(X2,X2),
inference(orient,[status(thm)],[t110]) ).
cnf(t1390,plain,
rd(unit,rd(X1,X2)) = ld(mult(X1,X2),mult(X2,X2)),
inference(cp,[status(thm)],[t1378,t204]) ).
cnf(t1040,plain,
mult(X1,X2) = ld(X1,rd(X2,mult(X1,X1))),
inference(cp,[status(thm)],[t19,t1027]) ).
cnf(t1131,plain,
ld(X1,rd(X2,mult(X1,X1))) = mult(X1,X2),
inference(orient,[status(thm)],[t1040]) ).
cnf(t6186,plain,
rd(rd(X1,X2),mult(X2,X2)) = mult(X1,X2),
inference(step,[status(thm)],[t101,t978]) ).
cnf(t985,plain,
rd(rd(X1,X2),mult(X2,X2)) = mult(X1,X2),
inference(rw,[status(thm)],[t6186]) ).
cnf(t1049,plain,
rd(rd(X1,X2),mult(X2,X2)) = mult(X1,X2),
inference(orient,[status(thm)],[t985]) ).
cnf(t1133,plain,
mult(X1,rd(X2,X1)) = ld(X1,mult(X2,X1)),
inference(cp,[status(thm)],[t1131,t1049]) ).
cnf(t1144,plain,
ld(X1,mult(X2,X1)) = mult(X1,rd(X2,X1)),
inference(orient,[status(thm)],[t1133]) ).
cnf(t1148,plain,
mult(X1,rd(mult(X2,X2),X1)) = ld(X1,rd(X1,mult(X2,X2))),
inference(cp,[status(thm)],[t1144,t1028]) ).
cnf(t201,plain,
X1 = ld(rd(X2,mult(X1,X1)),rd(X2,X1)),
inference(cp,[status(thm)],[t62,t191]) ).
cnf(t653,plain,
ld(rd(X1,mult(X2,X2)),rd(X1,X2)) = X2,
inference(orient,[status(thm)],[t201]) ).
cnf(t883,plain,
mult(X1,X1) = ld(rd(X2,mult(X1,mult(X1,mult(X1,X1)))),rd(X2,mult(X1,X1))),
inference(cp,[status(thm)],[t653,t854]) ).
cnf(t6191,plain,
mult(X1,X1) = ld(rd(X2,unit),rd(X2,mult(X1,X1))),
inference(step,[status(thm)],[t883,t50]) ).
cnf(t6192,plain,
mult(X1,X1) = ld(X2,rd(X2,mult(X1,X1))),
inference(step,[status(thm)],[t6191,t58]) ).
cnf(t1006,plain,
ld(X1,rd(X1,mult(X2,X2))) = mult(X2,X2),
inference(orient,[status(thm)],[t6192]) ).
cnf(t6213,plain,
mult(X1,rd(mult(X2,X2),X1)) = mult(X2,X2),
inference(step,[status(thm)],[t1148,t1006]) ).
cnf(t1314,plain,
mult(X1,rd(mult(X2,X2),X1)) = mult(X2,X2),
inference(orient,[status(thm)],[t6213]) ).
cnf(t1328,plain,
rd(mult(X1,X1),X2) = ld(X2,mult(X1,X1)),
inference(cp,[status(thm)],[t19,t1314]) ).
cnf(t1330,plain,
ld(X1,mult(X2,X2)) = rd(mult(X2,X2),X1),
inference(orient,[status(thm)],[t1328]) ).
cnf(t6227,plain,
rd(unit,rd(X1,X2)) = rd(mult(X2,X2),mult(X1,X2)),
inference(step,[status(thm)],[t1390,t1330]) ).
cnf(t1886,plain,
rd(mult(X1,X1),mult(X2,X1)) = rd(unit,rd(X2,X1)),
inference(orient,[status(thm)],[t6227]) ).
cnf(t6246,plain,
rd(unit,rd(X2,X1)) = mult(rd(X1,mult(X2,X2)),X2),
inference(step,[status(thm)],[t6245,t1886]) ).
cnf(t6247,plain,
rd(unit,rd(X2,X1)) = rd(X1,X2),
inference(step,[status(thm)],[t6246,t224]) ).
cnf(t2479,plain,
rd(unit,rd(X1,X2)) = rd(X2,X1),
inference(orient,[status(thm)],[t6247]) ).
cnf(t2492,plain,
rd(X1,rd(X2,mult(X1,X1))) = rd(unit,mult(X2,X1)),
inference(cp,[status(thm)],[t2479,t1044]) ).
cnf(t1547,plain,
rd(X1,X2) = ld(X1,rd(mult(X1,X1),X2)),
inference(cp,[status(thm)],[t19,t1517]) ).
cnf(t1575,plain,
ld(X1,rd(mult(X1,X1),X2)) = rd(X1,X2),
inference(orient,[status(thm)],[t1547]) ).
cnf(t1520,plain,
rd(mult(X1,X1),ld(X2,X1)) = mult(X1,X2),
inference(cp,[status(thm)],[t1517,t61]) ).
cnf(t1549,plain,
rd(mult(X1,X1),ld(X2,X1)) = mult(X1,X2),
inference(orient,[status(thm)],[t1520]) ).
cnf(t1572,plain,
ld(X1,X2) = ld(mult(X2,X1),mult(X2,X2)),
inference(cp,[status(thm)],[t62,t1549]) ).
cnf(t6222,plain,
ld(X1,X2) = rd(mult(X2,X2),mult(X2,X1)),
inference(step,[status(thm)],[t1572,t1330]) ).
cnf(t1594,plain,
rd(mult(X1,X1),mult(X1,X2)) = ld(X2,X1),
inference(orient,[status(thm)],[t6222]) ).
cnf(t1623,plain,
rd(X1,mult(X1,X2)) = ld(X1,ld(X2,X1)),
inference(cp,[status(thm)],[t1575,t1594]) ).
cnf(t1624,plain,
ld(X1,ld(X2,X1)) = rd(X1,mult(X1,X2)),
inference(orient,[status(thm)],[t1623]) ).
cnf(t1375,plain,
rd(unit,X1) = ld(mult(X2,X1),X2),
inference(cp,[status(thm)],[t62,t1372]) ).
cnf(t1398,plain,
ld(mult(X1,X2),X1) = rd(unit,X2),
inference(orient,[status(thm)],[t1375]) ).
cnf(t1636,plain,
rd(X1,mult(X1,mult(X1,X2))) = ld(X1,rd(unit,X2)),
inference(cp,[status(thm)],[t1624,t1398]) ).
cnf(t6235,plain,
rd(X1,rd(X2,mult(X1,X1))) = ld(X1,rd(unit,X2)),
inference(step,[status(thm)],[t1636,t1027]) ).
cnf(t2133,plain,
rd(X1,rd(X2,mult(X1,X1))) = ld(X1,rd(unit,X2)),
inference(orient,[status(thm)],[t6235]) ).
cnf(t6287,plain,
ld(X1,rd(unit,X2)) = rd(unit,mult(X2,X1)),
inference(step,[status(thm)],[t2492,t2133]) ).
cnf(t2708,plain,
ld(X1,rd(unit,X2)) = rd(unit,mult(X2,X1)),
inference(orient,[status(thm)],[t6287]) ).
cnf(t2718,plain,
mult(X1,X1) = rd(mult(X1,rd(unit,X2)),rd(unit,mult(X2,X1))),
inference(cp,[status(thm)],[t1252,t2708]) ).
cnf(t6319,plain,
mult(X1,X1) = mult(mult(X1,rd(unit,X2)),mult(X2,X1)),
inference(step,[status(thm)],[t2718,t1372]) ).
cnf(t6320,plain,
mult(X1,X1) = mult(rd(X1,X2),mult(X2,X1)),
inference(step,[status(thm)],[t6319,t1340]) ).
cnf(t3048,plain,
mult(rd(X1,X2),mult(X2,X1)) = mult(X1,X1),
inference(orient,[status(thm)],[t6320]) ).
cnf(t1094,plain,
rd(ld(X1,X2),mult(mult(X1,X1),mult(X1,X1))) = rd(mult(X1,X2),mult(X1,X1)),
inference(cp,[status(thm)],[t191,t1087]) ).
cnf(t6201,plain,
rd(ld(X1,X2),rd(mult(X1,X1),mult(X1,X1))) = rd(mult(X1,X2),mult(X1,X1)),
inference(step,[status(thm)],[t1094,t1028]) ).
cnf(t6202,plain,
rd(ld(X1,X2),rd(X1,X1)) = rd(mult(X1,X2),mult(X1,X1)),
inference(step,[status(thm)],[t6201,t179]) ).
cnf(t6203,plain,
rd(ld(X1,X2),unit) = rd(mult(X1,X2),mult(X1,X1)),
inference(step,[status(thm)],[t6202,t59]) ).
cnf(t6204,plain,
ld(X1,X2) = rd(mult(X1,X2),mult(X1,X1)),
inference(step,[status(thm)],[t6203,t58]) ).
cnf(t1186,plain,
rd(mult(X1,X2),mult(X1,X1)) = ld(X1,X2),
inference(orient,[status(thm)],[t6204]) ).
cnf(t1352,plain,
ld(X1,rd(unit,X2)) = rd(rd(X1,X2),mult(X1,X1)),
inference(cp,[status(thm)],[t1186,t1340]) ).
cnf(t1761,plain,
rd(rd(X1,X2),mult(X1,X1)) = ld(X1,rd(unit,X2)),
inference(orient,[status(thm)],[t1352]) ).
cnf(t6288,plain,
rd(rd(X1,X2),mult(X1,X1)) = rd(unit,mult(X2,X1)),
inference(step,[status(thm)],[t1761,t2708]) ).
cnf(t2709,plain,
rd(rd(X1,X2),mult(X1,X1)) = rd(unit,mult(X2,X1)),
inference(orient,[status(thm)],[t6288]) ).
cnf(t3060,plain,
mult(rd(X1,X2),rd(X1,X2)) = mult(rd(unit,mult(X2,X1)),mult(mult(X1,X1),rd(X1,X2))),
inference(cp,[status(thm)],[t3048,t2709]) ).
cnf(t2497,plain,
mult(X1,rd(X2,X3)) = rd(X1,rd(X3,X2)),
inference(cp,[status(thm)],[t1372,t2479]) ).
cnf(t2723,plain,
mult(X1,rd(X2,X3)) = rd(X1,rd(X3,X2)),
inference(orient,[status(thm)],[t2497]) ).
cnf(t6402,plain,
rd(rd(X1,X2),rd(X2,X1)) = mult(rd(unit,mult(X2,X1)),mult(mult(X1,X1),rd(X1,X2))),
inference(step,[status(thm)],[t3060,t2723]) ).
cnf(t1258,plain,
mult(rd(X1,X2),rd(X1,X2)) = rd(X1,ld(rd(X1,X2),X2)),
inference(cp,[status(thm)],[t1252,t13]) ).
cnf(t6352,plain,
rd(rd(X1,X2),rd(X2,X1)) = rd(X1,ld(rd(X1,X2),X2)),
inference(step,[status(thm)],[t1258,t2723]) ).
cnf(t2484,plain,
rd(rd(X1,mult(X2,X2)),X2) = rd(unit,ld(X2,rd(unit,X1))),
inference(cp,[status(thm)],[t2479,t2133]) ).
cnf(t6255,plain,
mult(X1,X2) = rd(unit,ld(X2,rd(unit,X1))),
inference(step,[status(thm)],[t2484,t1044]) ).
cnf(t1382,plain,
rd(unit,ld(X1,X2)) = ld(X2,X1),
inference(cp,[status(thm)],[t1378,t61]) ).
cnf(t1416,plain,
rd(unit,ld(X1,X2)) = ld(X2,X1),
inference(orient,[status(thm)],[t1382]) ).
cnf(t6256,plain,
mult(X1,X2) = ld(rd(unit,X1),X2),
inference(step,[status(thm)],[t6255,t1416]) ).
cnf(t2513,plain,
ld(rd(unit,X1),X2) = mult(X1,X2),
inference(orient,[status(thm)],[t6256]) ).
cnf(t2526,plain,
mult(rd(X1,X2),X3) = ld(rd(X2,X1),X3),
inference(cp,[status(thm)],[t2513,t2479]) ).
cnf(t2812,plain,
ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3),
inference(orient,[status(thm)],[t2526]) ).
cnf(t6353,plain,
rd(rd(X1,X2),rd(X2,X1)) = rd(X1,mult(rd(X2,X1),X2)),
inference(step,[status(thm)],[t6352,t2812]) ).
cnf(t4131,plain,
rd(rd(X1,X2),rd(X2,X1)) = rd(X1,mult(rd(X2,X1),X2)),
inference(orient,[status(thm)],[t6353]) ).
cnf(t6403,plain,
rd(X1,mult(rd(X2,X1),X2)) = mult(rd(unit,mult(X2,X1)),mult(mult(X1,X1),rd(X1,X2))),
inference(step,[status(thm)],[t6402,t4131]) ).
cnf(t1578,plain,
rd(X1,ld(X2,mult(X1,X1))) = ld(X1,X2),
inference(cp,[status(thm)],[t1575,t61]) ).
cnf(t6223,plain,
rd(X1,rd(mult(X1,X1),X2)) = ld(X1,X2),
inference(step,[status(thm)],[t1578,t1330]) ).
cnf(t1699,plain,
rd(X1,rd(mult(X1,X1),X2)) = ld(X1,X2),
inference(orient,[status(thm)],[t6223]) ).
cnf(t2485,plain,
rd(rd(mult(X1,X1),X2),X1) = rd(unit,ld(X1,X2)),
inference(cp,[status(thm)],[t2479,t1699]) ).
cnf(t1100,plain,
mult(ld(X1,X2),X1) = rd(mult(X1,X2),X1),
inference(cp,[status(thm)],[t1044,t1087]) ).
cnf(t1104,plain,
mult(ld(X1,X2),X1) = rd(mult(X1,X2),X1),
inference(orient,[status(thm)],[t1100]) ).
cnf(t1396,plain,
rd(mult(X1,rd(X1,X2)),X1) = mult(rd(unit,X2),X1),
inference(cp,[status(thm)],[t1104,t1378]) ).
cnf(t6228,plain,
rd(rd(mult(X1,X1),X2),X1) = mult(rd(unit,X2),X1),
inference(step,[status(thm)],[t1396,t1517]) ).
cnf(t1907,plain,
rd(rd(mult(X1,X1),X2),X1) = mult(rd(unit,X2),X1),
inference(orient,[status(thm)],[t6228]) ).
cnf(t6259,plain,
mult(rd(unit,X2),X1) = rd(unit,ld(X1,X2)),
inference(step,[status(thm)],[t2485,t1907]) ).
cnf(t6260,plain,
mult(rd(unit,X2),X1) = ld(X2,X1),
inference(step,[status(thm)],[t6259,t1416]) ).
cnf(t2547,plain,
mult(rd(unit,X1),X2) = ld(X1,X2),
inference(orient,[status(thm)],[t6260]) ).
cnf(t6404,plain,
rd(X1,mult(rd(X2,X1),X2)) = ld(mult(X2,X1),mult(mult(X1,X1),rd(X1,X2))),
inference(step,[status(thm)],[t6403,t2547]) ).
cnf(t6405,plain,
rd(X1,mult(rd(X2,X1),X2)) = ld(mult(X2,X1),rd(rd(X1,X2),mult(X1,X1))),
inference(step,[status(thm)],[t6404,t1028]) ).
cnf(t6406,plain,
rd(X1,mult(rd(X2,X1),X2)) = ld(mult(X2,X1),rd(unit,mult(X2,X1))),
inference(step,[status(thm)],[t6405,t2709]) ).
cnf(t6407,plain,
rd(X1,mult(rd(X2,X1),X2)) = rd(unit,mult(mult(X2,X1),mult(X2,X1))),
inference(step,[status(thm)],[t6406,t2708]) ).
cnf(t855,plain,
mult(X1,mult(X1,mult(mult(X1,X1),mult(X1,X1)))) = ld(mult(X1,X1),unit),
inference(cp,[status(thm)],[t854,t63]) ).
cnf(t6177,plain,
mult(X1,mult(X1,mult(X1,mult(X1,mult(X1,X1))))) = ld(mult(X1,X1),unit),
inference(step,[status(thm)],[t855,t854]) ).
cnf(t6178,plain,
mult(X1,mult(X1,unit)) = ld(mult(X1,X1),unit),
inference(step,[status(thm)],[t6177,t50]) ).
cnf(t6179,plain,
mult(X1,X1) = ld(mult(X1,X1),unit),
inference(step,[status(thm)],[t6178,t10]) ).
cnf(t6180,plain,
mult(X1,X1) = rd(unit,mult(X1,X1)),
inference(step,[status(thm)],[t6179,t125]) ).
cnf(t975,plain,
rd(unit,mult(X1,X1)) = mult(X1,X1),
inference(orient,[status(thm)],[t6180]) ).
cnf(t6408,plain,
rd(X1,mult(rd(X2,X1),X2)) = mult(mult(X2,X1),mult(X2,X1)),
inference(step,[status(thm)],[t6407,t975]) ).
cnf(t1410,plain,
mult(mult(X1,X2),mult(X1,X2)) = rd(mult(mult(X1,X2),X1),rd(unit,X2)),
inference(cp,[status(thm)],[t1252,t1398]) ).
cnf(t6361,plain,
mult(mult(X1,X2),mult(X1,X2)) = mult(mult(mult(X1,X2),X1),X2),
inference(step,[status(thm)],[t1410,t1372]) ).
cnf(t6362,plain,
mult(mult(X1,X2),mult(X1,X2)) = mult(rd(ld(X1,X2),X1),X2),
inference(step,[status(thm)],[t6361,t1117]) ).
cnf(t1009,plain,
mult(X1,X1) = ld(mult(X2,X1),rd(X2,X1)),
inference(cp,[status(thm)],[t1006,t179]) ).
cnf(t1069,plain,
ld(mult(X1,X2),rd(X1,X2)) = mult(X2,X2),
inference(orient,[status(thm)],[t1009]) ).
cnf(t1074,plain,
mult(ld(X1,X2),ld(X1,X2)) = ld(mult(X2,ld(X1,X2)),X1),
inference(cp,[status(thm)],[t1069,t61]) ).
cnf(t1424,plain,
mult(X1,ld(X2,X3)) = rd(X1,ld(X3,X2)),
inference(cp,[status(thm)],[t1372,t1416]) ).
cnf(t1436,plain,
mult(X1,ld(X2,X3)) = rd(X1,ld(X3,X2)),
inference(orient,[status(thm)],[t1424]) ).
cnf(t6339,plain,
rd(ld(X1,X2),ld(X2,X1)) = ld(mult(X2,ld(X1,X2)),X1),
inference(step,[status(thm)],[t1074,t1436]) ).
cnf(t6340,plain,
rd(ld(X1,X2),ld(X2,X1)) = ld(rd(X2,ld(X2,X1)),X1),
inference(step,[status(thm)],[t6339,t1436]) ).
cnf(t6341,plain,
rd(ld(X1,X2),ld(X2,X1)) = mult(rd(ld(X2,X1),X2),X1),
inference(step,[status(thm)],[t6340,t2812]) ).
cnf(t3901,plain,
mult(rd(ld(X1,X2),X1),X2) = rd(ld(X2,X1),ld(X1,X2)),
inference(orient,[status(thm)],[t6341]) ).
cnf(t1046,plain,
mult(X1,X1) = rd(mult(rd(X2,mult(X1,X1)),X1),mult(X2,X1)),
inference(cp,[status(thm)],[t204,t1044]) ).
cnf(t6200,plain,
mult(X1,X1) = rd(rd(X2,X1),mult(X2,X1)),
inference(step,[status(thm)],[t1046,t224]) ).
cnf(t1168,plain,
rd(rd(X1,X2),mult(X1,X2)) = mult(X2,X2),
inference(orient,[status(thm)],[t6200]) ).
cnf(t1170,plain,
mult(ld(X1,X2),ld(X1,X2)) = rd(X1,mult(X2,ld(X1,X2))),
inference(cp,[status(thm)],[t1168,t61]) ).
cnf(t6344,plain,
rd(ld(X1,X2),ld(X2,X1)) = rd(X1,mult(X2,ld(X1,X2))),
inference(step,[status(thm)],[t1170,t1436]) ).
cnf(t6345,plain,
rd(ld(X1,X2),ld(X2,X1)) = rd(X1,rd(X2,ld(X2,X1))),
inference(step,[status(thm)],[t6344,t1436]) ).
cnf(t4009,plain,
rd(ld(X1,X2),ld(X2,X1)) = rd(X1,rd(X2,ld(X2,X1))),
inference(orient,[status(thm)],[t6345]) ).
cnf(t6348,plain,
mult(rd(ld(X1,X2),X1),X2) = rd(X2,rd(X1,ld(X1,X2))),
inference(step,[status(thm)],[t3901,t4009]) ).
cnf(t4012,plain,
mult(rd(ld(X1,X2),X1),X2) = rd(X2,rd(X1,ld(X1,X2))),
inference(orient,[status(thm)],[t6348]) ).
cnf(t6363,plain,
mult(mult(X1,X2),mult(X1,X2)) = rd(X2,rd(X1,ld(X1,X2))),
inference(step,[status(thm)],[t6362,t4012]) ).
cnf(t4327,plain,
mult(mult(X1,X2),mult(X1,X2)) = rd(X2,rd(X1,ld(X1,X2))),
inference(orient,[status(thm)],[t6363]) ).
cnf(t6409,plain,
rd(X1,mult(rd(X2,X1),X2)) = rd(X1,rd(X2,ld(X2,X1))),
inference(step,[status(thm)],[t6408,t4327]) ).
cnf(t5893,plain,
rd(X1,mult(rd(X2,X1),X2)) = rd(X1,rd(X2,ld(X2,X1))),
inference(orient,[status(thm)],[t6409]) ).
cnf(t5945,plain,
rd(unit,mult(rd(X1,X2),X1)) = ld(X2,rd(X2,rd(X1,ld(X1,X2)))),
inference(cp,[status(thm)],[t1378,t5893]) ).
cnf(t2713,plain,
rd(unit,mult(rd(X1,X2),X3)) = ld(X3,rd(X2,X1)),
inference(cp,[status(thm)],[t2708,t2479]) ).
cnf(t3184,plain,
rd(unit,mult(rd(X1,X2),X3)) = ld(X3,rd(X2,X1)),
inference(orient,[status(thm)],[t2713]) ).
cnf(t6421,plain,
ld(X1,rd(X2,X1)) = ld(X2,rd(X2,rd(X1,ld(X1,X2)))),
inference(step,[status(thm)],[t5945,t3184]) ).
cnf(t1136,plain,
mult(X1,mult(X2,X1)) = ld(X1,rd(X2,X1)),
inference(cp,[status(thm)],[t1131,t179]) ).
cnf(t1157,plain,
ld(X1,rd(X2,X1)) = mult(X1,mult(X2,X1)),
inference(orient,[status(thm)],[t1136]) ).
cnf(t6422,plain,
mult(X1,mult(X2,X1)) = ld(X2,rd(X2,rd(X1,ld(X1,X2)))),
inference(step,[status(thm)],[t6421,t1157]) ).
cnf(t6423,plain,
mult(X1,mult(X2,X1)) = rd(unit,rd(X1,ld(X1,X2))),
inference(step,[status(thm)],[t6422,t1378]) ).
cnf(t6424,plain,
mult(X1,mult(X2,X1)) = rd(ld(X1,X2),X1),
inference(step,[status(thm)],[t6423,t2479]) ).
cnf(t5969,plain,
mult(X1,mult(X2,X1)) = rd(ld(X1,X2),X1),
inference(orient,[status(thm)],[t6424]) ).
cnf(goal_0,negated_conjecture,
mult(mult(a,b),a) != mult(a,mult(b,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
rd(ld(a,b),a) != mult(a,mult(b,a)),
inference(rw,[status(thm)],[goal_0,t1117]) ).
cnf(g0_1,plain,
rd(ld(a,b),a) != rd(ld(a,b),a),
inference(rw,[status(thm)],[g0_0,t5969]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP707-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 15:52:10 UTC 2026
% 0.02/0.37 % CPUTime :
% 0.02/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 12.76/2.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.76/2.06 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------