%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP680-1 : 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 01:28:01 PM UTC 2026
% Result : Unsatisfiable 0.16s 10.90s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of clauses : 40 ( 40 unt; 0 nHn; 5 RR)
% Number of literals : 40 ( 39 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t7,axiom,
mult(i(X1),mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t15,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(orient,[status(thm)],[t7]) ).
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,
ld(X1,X2) = mult(i(X1),X2),
inference(cp,[status(thm)],[t15,t9]) ).
cnf(t77,plain,
mult(i(X1),X2) = ld(X1,X2),
inference(orient,[status(thm)],[t16]) ).
cnf(t2,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t26,plain,
ld(X1,mult(X1,X2)) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t4,axiom,
mult(op_c,X1) = mult(X1,op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t42,plain,
mult(X1,op_c) = mult(op_c,X1),
inference(orient,[status(thm)],[t4]) ).
cnf(t5,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)],[t5]) ).
cnf(t44,plain,
mult(op_c,rd(X1,op_c)) = X1,
inference(cp,[status(thm)],[t42,t13]) ).
cnf(t94,plain,
mult(op_c,rd(X1,op_c)) = X1,
inference(orient,[status(thm)],[t44]) ).
cnf(t96,plain,
rd(X1,op_c) = ld(op_c,X1),
inference(cp,[status(thm)],[t26,t94]) ).
cnf(t99,plain,
ld(op_c,X1) = rd(X1,op_c),
inference(orient,[status(thm)],[t96]) ).
cnf(t8,axiom,
mult(mult(X1,mult(X2,X1)),X3) = mult(X1,mult(X2,mult(X1,X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t31,plain,
mult(mult(X1,mult(X2,X1)),X3) = mult(X1,mult(X2,mult(X1,X3))),
inference(orient,[status(thm)],[t8]) ).
cnf(t35,plain,
mult(X1,mult(rd(X2,X1),mult(X1,X3))) = mult(mult(X1,X2),X3),
inference(cp,[status(thm)],[t31,t13]) ).
cnf(t2974,plain,
mult(X1,mult(rd(X2,X1),mult(X1,X3))) = mult(mult(X1,X2),X3),
inference(orient,[status(thm)],[t35]) ).
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(t17,plain,
unit = mult(i(X1),X1),
inference(cp,[status(thm)],[t15,t10]) ).
cnf(t57,plain,
mult(i(X1),X1) = unit,
inference(orient,[status(thm)],[t17]) ).
cnf(t62,plain,
X1 = mult(i(i(X1)),unit),
inference(cp,[status(thm)],[t15,t57]) ).
cnf(t3207,plain,
X1 = i(i(X1)),
inference(step,[status(thm)],[t62,t10]) ).
cnf(t64,plain,
i(i(X1)) = X1,
inference(orient,[status(thm)],[t3207]) ).
cnf(t65,plain,
unit = mult(X1,i(X1)),
inference(cp,[status(thm)],[t57,t64]) ).
cnf(t75,plain,
mult(X1,i(X1)) = unit,
inference(orient,[status(thm)],[t65]) ).
cnf(t3058,plain,
mult(mult(X1,X2),i(X1)) = mult(X1,mult(rd(X2,X1),unit)),
inference(cp,[status(thm)],[t2974,t75]) ).
cnf(t3304,plain,
mult(mult(X1,X2),i(X1)) = mult(X1,rd(X2,X1)),
inference(step,[status(thm)],[t3058,t10]) ).
cnf(t3125,plain,
mult(mult(X1,X2),i(X1)) = mult(X1,rd(X2,X1)),
inference(orient,[status(thm)],[t3304]) ).
cnf(t3146,plain,
mult(op_c,rd(rd(X1,op_c),op_c)) = mult(X1,i(op_c)),
inference(cp,[status(thm)],[t3125,t94]) ).
cnf(t3305,plain,
rd(X1,op_c) = mult(X1,i(op_c)),
inference(step,[status(thm)],[t3146,t94]) ).
cnf(t3179,plain,
mult(X1,i(op_c)) = rd(X1,op_c),
inference(orient,[status(thm)],[t3305]) ).
cnf(goal_0,negated_conjecture,
mult(i(op_c),a) != mult(a,i(op_c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
ld(op_c,a) != mult(a,i(op_c)),
inference(rw,[status(thm)],[goal_0,t77]) ).
cnf(g0_1,plain,
rd(a,op_c) != mult(a,i(op_c)),
inference(rw,[status(thm)],[g0_0,t99]) ).
cnf(g0_2,plain,
rd(a,op_c) != rd(a,op_c),
inference(rw,[status(thm)],[g0_1,t3179]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP680-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/10.37 % Computer : n016.cluster.edu
% 0.11/10.37 % Model : x86_64 x86_64
% 0.11/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.37 % Memory : 8046.5625MB
% 0.11/10.37 % OS : Linux 6.8.0-71-generic
% 0.11/10.37 % CPULimit : 300
% 0.11/10.37 % WCLimit : 300
% 0.11/10.37 % DateTime : Wed Sep 23 15:45:52 UTC 2026
% 0.11/10.37 % CPUTime :
% 0.11/10.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/10.90 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/10.90 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------