%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ALG236-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.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 12:52:11 PM UTC 2026
% Result : Unsatisfiable 5.78s 1.26s
% Output : CNFRefutation 5.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 4
% Syntax : Number of clauses : 62 ( 62 unt; 0 nHn; 3 RR)
% Number of literals : 62 ( 61 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 215 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
mult(mult(X1,mult(X2,mult(X3,X2))),X4) = mult(X1,mult(X4,mult(mult(X3,X2),X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t12,plain,
mult(X1,mult(X2,mult(mult(X3,X4),X2))) = mult(mult(X1,mult(X4,mult(X3,X4))),X2),
inference(orient,[status(thm)],[t2]) ).
cnf(t1,axiom,
mult(X1,mult(X2,mult(X3,X4))) = mult(X3,mult(X2,mult(X1,X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t5,plain,
mult(X1,mult(X2,mult(X3,X4))) = mult(X3,mult(X2,mult(X1,X4))),
inference(orient,[status(thm)],[t1]) ).
cnf(t0,axiom,
mult(X1,mult(X2,mult(X1,X2))) = mult(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t3,plain,
mult(X1,mult(X2,mult(X1,X2))) = mult(X1,X2),
inference(orient,[status(thm)],[t0]) ).
cnf(t6,plain,
mult(X1,mult(X2,mult(X3,mult(X2,X1)))) = mult(X3,mult(X2,X1)),
inference(cp,[status(thm)],[t5,t3]) ).
cnf(t44,plain,
mult(X1,mult(X2,mult(X3,mult(X2,X1)))) = mult(X3,mult(X2,X1)),
inference(orient,[status(thm)],[t6]) ).
cnf(t46,plain,
mult(X1,mult(X2,mult(X1,X2))) = mult(mult(X1,X2),mult(X2,mult(X1,X2))),
inference(cp,[status(thm)],[t44,t3]) ).
cnf(t2581,plain,
mult(X1,X2) = mult(mult(X1,X2),mult(X2,mult(X1,X2))),
inference(step,[status(thm)],[t46,t3]) ).
cnf(t2582,plain,
mult(X1,X2) = mult(X1,mult(X2,mult(mult(X1,X2),X2))),
inference(step,[status(thm)],[t2581,t5]) ).
cnf(t63,plain,
mult(X1,mult(X2,mult(mult(X1,X2),X2))) = mult(X1,X2),
inference(orient,[status(thm)],[t2582]) ).
cnf(t33,plain,
mult(X1,mult(X2,mult(mult(X1,X3),X2))) = mult(mult(X1,X3),X2),
inference(cp,[status(thm)],[t12,t3]) ).
cnf(t82,plain,
mult(X1,mult(X2,mult(mult(X1,X3),X2))) = mult(mult(X1,X3),X2),
inference(orient,[status(thm)],[t33]) ).
cnf(t2583,plain,
mult(mult(X1,X2),X2) = mult(X1,X2),
inference(step,[status(thm)],[t63,t82]) ).
cnf(t105,plain,
mult(mult(X1,X2),X2) = mult(X1,X2),
inference(rw,[status(thm)],[t2583]) ).
cnf(t106,plain,
mult(mult(X1,X2),X2) = mult(X1,X2),
inference(orient,[status(thm)],[t105]) ).
cnf(t118,plain,
mult(mult(X1,X2),mult(X3,mult(X4,X2))) = mult(X4,mult(X3,mult(X1,X2))),
inference(cp,[status(thm)],[t5,t106]) ).
cnf(t122,plain,
mult(mult(X1,X2),mult(X3,mult(X4,X2))) = mult(X4,mult(X3,mult(X1,X2))),
inference(orient,[status(thm)],[t118]) ).
cnf(t160,plain,
mult(mult(X1,X2),mult(X3,mult(mult(X4,X2),X3))) = mult(mult(X4,mult(X2,mult(X1,X2))),X3),
inference(cp,[status(thm)],[t12,t122]) ).
cnf(t917,plain,
mult(mult(X1,X2),mult(X3,mult(mult(X4,X2),X3))) = mult(mult(X4,mult(X2,mult(X1,X2))),X3),
inference(orient,[status(thm)],[t160]) ).
cnf(t1040,plain,
mult(X1,mult(X2,mult(mult(X3,mult(mult(X4,X3),X3)),X2))) = mult(mult(X1,mult(mult(X4,mult(X3,mult(mult(X4,X3),X3))),X3)),X2),
inference(cp,[status(thm)],[t12,t917]) ).
cnf(t2589,plain,
mult(X1,mult(X2,mult(mult(X3,mult(X4,X3)),X2))) = mult(mult(X1,mult(mult(X4,mult(X3,mult(mult(X4,X3),X3))),X3)),X2),
inference(step,[status(thm)],[t1040,t106]) ).
cnf(t2590,plain,
mult(X1,mult(X2,mult(mult(X3,mult(X4,X3)),X2))) = mult(mult(X1,mult(X4,mult(X3,mult(mult(mult(X4,X3),X3),X3)))),X2),
inference(step,[status(thm)],[t2589,t12]) ).
cnf(t98,plain,
mult(mult(X1,mult(X2,mult(mult(X1,X3),X2))),X4) = mult(X1,mult(X4,mult(mult(mult(X1,X3),X2),X4))),
inference(cp,[status(thm)],[t82,t82]) ).
cnf(t2585,plain,
mult(mult(mult(X1,X3),X2),X4) = mult(X1,mult(X4,mult(mult(mult(X1,X3),X2),X4))),
inference(step,[status(thm)],[t98,t82]) ).
cnf(t311,plain,
mult(X1,mult(X2,mult(mult(mult(X1,X3),X4),X2))) = mult(mult(mult(X1,X3),X4),X2),
inference(orient,[status(thm)],[t2585]) ).
cnf(t2591,plain,
mult(X1,mult(X2,mult(mult(X3,mult(X4,X3)),X2))) = mult(mult(X1,mult(mult(mult(X4,X3),X3),X3)),X2),
inference(step,[status(thm)],[t2590,t311]) ).
cnf(t2592,plain,
mult(X1,mult(X2,mult(mult(X3,mult(X4,X3)),X2))) = mult(mult(X1,mult(mult(X4,X3),X3)),X2),
inference(step,[status(thm)],[t2591,t106]) ).
cnf(t2593,plain,
mult(X1,mult(X2,mult(mult(X3,mult(X4,X3)),X2))) = mult(mult(X1,mult(X4,X3)),X2),
inference(step,[status(thm)],[t2592,t106]) ).
cnf(t1042,plain,
mult(X1,mult(X2,mult(mult(X3,mult(X4,X3)),X2))) = mult(mult(X1,mult(X4,X3)),X2),
inference(orient,[status(thm)],[t2593]) ).
cnf(t1047,plain,
mult(mult(X1,mult(X2,X3)),X4) = mult(mult(X3,mult(X2,X3)),mult(X4,mult(X1,X4))),
inference(cp,[status(thm)],[t1042,t5]) ).
cnf(t1155,plain,
mult(mult(X1,mult(X2,X1)),mult(X3,mult(X4,X3))) = mult(mult(X4,mult(X2,X1)),X3),
inference(orient,[status(thm)],[t1047]) ).
cnf(t1210,plain,
mult(mult(mult(X1,X2),mult(X3,X4)),X2) = mult(mult(X4,mult(X3,X4)),mult(X2,mult(X1,X2))),
inference(cp,[status(thm)],[t1155,t106]) ).
cnf(t2594,plain,
mult(mult(mult(X1,X2),mult(X3,X4)),X2) = mult(mult(X1,mult(X3,X4)),X2),
inference(step,[status(thm)],[t1210,t1155]) ).
cnf(t1276,plain,
mult(mult(mult(X1,X2),mult(X3,X4)),X2) = mult(mult(X1,mult(X3,X4)),X2),
inference(orient,[status(thm)],[t2594]) ).
cnf(t1301,plain,
mult(mult(X1,mult(X2,mult(X3,X4))),Y4) = mult(mult(X3,mult(X2,mult(mult(X1,Y4),X4))),Y4),
inference(cp,[status(thm)],[t1276,t5]) ).
cnf(t1674,plain,
mult(mult(X1,mult(X2,mult(mult(X3,X4),Y4))),X4) = mult(mult(X3,mult(X2,mult(X1,Y4))),X4),
inference(orient,[status(thm)],[t1301]) ).
cnf(t1684,plain,
mult(mult(X1,mult(X2,mult(X1,X2))),X3) = mult(mult(mult(X1,X3),X2),X3),
inference(cp,[status(thm)],[t1674,t82]) ).
cnf(t2599,plain,
mult(mult(X1,X2),X3) = mult(mult(mult(X1,X3),X2),X3),
inference(step,[status(thm)],[t1684,t3]) ).
cnf(t1824,plain,
mult(mult(mult(X1,X2),X3),X2) = mult(mult(X1,X3),X2),
inference(orient,[status(thm)],[t2599]) ).
cnf(t1835,plain,
mult(mult(X1,mult(X2,mult(X3,X2))),mult(X4,X1)) = mult(mult(mult(X3,mult(X4,X1)),X2),mult(X4,X1)),
inference(cp,[status(thm)],[t1824,t1155]) ).
cnf(t2601,plain,
mult(mult(X1,mult(X2,mult(X3,X2))),mult(X4,X1)) = mult(mult(X3,X2),mult(X4,X1)),
inference(step,[status(thm)],[t1835,t1824]) ).
cnf(t2057,plain,
mult(mult(X1,mult(X2,mult(X3,X2))),mult(X4,X1)) = mult(mult(X3,X2),mult(X4,X1)),
inference(orient,[status(thm)],[t2601]) ).
cnf(t2058,plain,
mult(mult(mult(X1,mult(X2,X3)),X4),mult(X2,X3)) = mult(mult(X1,mult(X4,mult(X3,X4))),mult(X2,X3)),
inference(cp,[status(thm)],[t2057,t1674]) ).
cnf(t2602,plain,
mult(mult(X1,X4),mult(X2,X3)) = mult(mult(X1,mult(X4,mult(X3,X4))),mult(X2,X3)),
inference(step,[status(thm)],[t2058,t1824]) ).
cnf(t2163,plain,
mult(mult(X1,mult(X2,mult(X3,X2))),mult(X4,X3)) = mult(mult(X1,X2),mult(X4,X3)),
inference(orient,[status(thm)],[t2602]) ).
cnf(t2167,plain,
mult(mult(X1,X2),mult(X3,X4)) = mult(X1,mult(mult(X3,X4),mult(mult(X4,X2),mult(X3,X4)))),
inference(cp,[status(thm)],[t2163,t12]) ).
cnf(t2603,plain,
mult(mult(X1,X2),mult(X3,X4)) = mult(X1,mult(X3,mult(mult(X4,X2),mult(X3,X4)))),
inference(step,[status(thm)],[t2167,t122]) ).
cnf(t2269,plain,
mult(X1,mult(X2,mult(mult(X3,X4),mult(X2,X3)))) = mult(mult(X1,X4),mult(X2,X3)),
inference(orient,[status(thm)],[t2603]) ).
cnf(t2291,plain,
mult(mult(X1,X2),mult(X3,mult(X4,Y4))) = mult(X1,mult(X3,mult(X4,mult(X3,mult(mult(mult(X4,Y4),X2),Y4))))),
inference(cp,[status(thm)],[t2269,t5]) ).
cnf(t2604,plain,
mult(mult(X1,X2),mult(X3,mult(X4,Y4))) = mult(X1,mult(X3,mult(X4,mult(X3,mult(mult(X4,X2),Y4))))),
inference(step,[status(thm)],[t2291,t1824]) ).
cnf(t145,plain,
mult(X1,mult(X2,X3)) = mult(X1,mult(X2,mult(X1,mult(X2,X3)))),
inference(cp,[status(thm)],[t3,t122]) ).
cnf(t163,plain,
mult(X1,mult(X2,mult(X1,mult(X2,X3)))) = mult(X1,mult(X2,X3)),
inference(orient,[status(thm)],[t145]) ).
cnf(t167,plain,
mult(X1,mult(X2,mult(X3,mult(mult(X2,X4),X3)))) = mult(X1,mult(X2,mult(X1,mult(mult(X2,X4),X3)))),
inference(cp,[status(thm)],[t163,t82]) ).
cnf(t2586,plain,
mult(X1,mult(mult(X2,X4),X3)) = mult(X1,mult(X2,mult(X1,mult(mult(X2,X4),X3)))),
inference(step,[status(thm)],[t167,t82]) ).
cnf(t631,plain,
mult(X1,mult(X2,mult(X1,mult(mult(X2,X3),X4)))) = mult(X1,mult(mult(X2,X3),X4)),
inference(orient,[status(thm)],[t2586]) ).
cnf(t2605,plain,
mult(mult(X1,X2),mult(X3,mult(X4,Y4))) = mult(X1,mult(X3,mult(mult(X4,X2),Y4))),
inference(step,[status(thm)],[t2604,t631]) ).
cnf(t2426,plain,
mult(mult(X1,X2),mult(X3,mult(X4,Y4))) = mult(X1,mult(X3,mult(mult(X4,X2),Y4))),
inference(orient,[status(thm)],[t2605]) ).
cnf(goal_0,negated_conjecture,
mult(mult(a,b),mult(c,mult(d,e))) != mult(a,mult(c,mult(mult(d,b),e))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
mult(a,mult(c,mult(mult(d,b),e))) != mult(a,mult(c,mult(mult(d,b),e))),
inference(rw,[status(thm)],[goal_0,t2426]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG236-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n015.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 : Fri Sep 25 05:17:57 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.78/1.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.78/1.26 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------