%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP715-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n005.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 01:28:16 PM UTC 2026
% Result : Unsatisfiable 6.11s 1.48s
% Output : CNFRefutation 6.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 7
% Syntax : Number of clauses : 41 ( 41 unt; 0 nHn; 10 RR)
% Number of literals : 41 ( 40 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t10,axiom,
mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t16,plain,
mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)),
inference(orient,[status(thm)],[t10]) ).
cnf(t7,axiom,
mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t14,plain,
mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
inference(orient,[status(thm)],[t7]) ).
cnf(t20,plain,
mult(mult(mult(X1,X2),X3),mult(X2,X2)) = mult(mult(X1,mult(mult(X2,X3),X2)),X2),
inference(cp,[status(thm)],[t14,t16]) ).
cnf(t3756,plain,
mult(mult(X1,mult(mult(X2,X3),X2)),X2) = mult(mult(mult(X1,X2),X3),mult(X2,X2)),
inference(orient,[status(thm)],[t20]) ).
cnf(t1,axiom,
mult(op_a,op_b) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t35,plain,
mult(op_a,op_b) = unit,
inference(orient,[status(thm)],[t1]) ).
cnf(t3822,plain,
mult(mult(mult(X1,op_a),op_b),mult(op_a,op_a)) = mult(mult(X1,mult(unit,op_a)),op_a),
inference(cp,[status(thm)],[t3756,t35]) ).
cnf(t3,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t12,plain,
mult(unit,X1) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t10060,plain,
mult(mult(mult(X1,op_a),op_b),mult(op_a,op_a)) = mult(mult(X1,op_a),op_a),
inference(step,[status(thm)],[t3822,t12]) ).
cnf(t10061,plain,
mult(mult(mult(X1,op_a),op_b),mult(op_a,op_a)) = mult(X1,mult(op_a,op_a)),
inference(step,[status(thm)],[t10060,t14]) ).
cnf(t9257,plain,
mult(mult(mult(X1,op_a),op_b),mult(op_a,op_a)) = mult(X1,mult(op_a,op_a)),
inference(orient,[status(thm)],[t10061]) ).
cnf(t9279,plain,
mult(mult(X1,op_a),mult(mult(op_b,mult(op_a,op_a)),op_b)) = mult(mult(X1,mult(op_a,op_a)),op_b),
inference(cp,[status(thm)],[t16,t9257]) ).
cnf(t2,axiom,
mult(op_b,op_a) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t30,plain,
mult(op_b,op_a) = unit,
inference(orient,[status(thm)],[t2]) ).
cnf(t31,plain,
mult(op_b,mult(op_a,op_a)) = mult(unit,op_a),
inference(cp,[status(thm)],[t14,t30]) ).
cnf(t9780,plain,
mult(op_b,mult(op_a,op_a)) = op_a,
inference(step,[status(thm)],[t31,t12]) ).
cnf(t54,plain,
mult(op_b,mult(op_a,op_a)) = op_a,
inference(orient,[status(thm)],[t9780]) ).
cnf(t10062,plain,
mult(mult(X1,op_a),mult(op_a,op_b)) = mult(mult(X1,mult(op_a,op_a)),op_b),
inference(step,[status(thm)],[t9279,t54]) ).
cnf(t10063,plain,
mult(mult(X1,op_a),unit) = mult(mult(X1,mult(op_a,op_a)),op_b),
inference(step,[status(thm)],[t10062,t35]) ).
cnf(t0,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
mult(X1,unit) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t10064,plain,
mult(X1,op_a) = mult(mult(X1,mult(op_a,op_a)),op_b),
inference(step,[status(thm)],[t10063,t11]) ).
cnf(t9295,plain,
mult(mult(X1,mult(op_a,op_a)),op_b) = mult(X1,op_a),
inference(orient,[status(thm)],[t10064]) ).
cnf(t19,plain,
mult(mult(X1,X2),mult(mult(X2,X3),X2)) = mult(mult(mult(X1,mult(X2,X2)),X3),X2),
inference(cp,[status(thm)],[t16,t14]) ).
cnf(t2245,plain,
mult(mult(mult(X1,mult(X2,X2)),X3),X2) = mult(mult(X1,X2),mult(mult(X2,X3),X2)),
inference(orient,[status(thm)],[t19]) ).
cnf(t9297,plain,
mult(mult(X1,mult(op_b,op_b)),op_a) = mult(mult(X1,op_b),mult(mult(op_b,mult(op_a,op_a)),op_b)),
inference(cp,[status(thm)],[t9295,t2245]) ).
cnf(t10068,plain,
mult(mult(X1,mult(op_b,op_b)),op_a) = mult(mult(X1,op_b),mult(op_b,op_a)),
inference(step,[status(thm)],[t9297,t9295]) ).
cnf(t10069,plain,
mult(mult(X1,mult(op_b,op_b)),op_a) = mult(mult(X1,op_b),unit),
inference(step,[status(thm)],[t10068,t30]) ).
cnf(t10070,plain,
mult(mult(X1,mult(op_b,op_b)),op_a) = mult(X1,op_b),
inference(step,[status(thm)],[t10069,t11]) ).
cnf(t9717,plain,
mult(mult(X1,mult(op_b,op_b)),op_a) = mult(X1,op_b),
inference(orient,[status(thm)],[t10070]) ).
cnf(t9718,plain,
mult(mult(X1,op_a),op_b) = mult(X1,mult(mult(op_a,mult(op_b,op_b)),op_a)),
inference(cp,[status(thm)],[t9717,t16]) ).
cnf(t10071,plain,
mult(mult(X1,op_a),op_b) = mult(X1,mult(op_a,op_b)),
inference(step,[status(thm)],[t9718,t9717]) ).
cnf(t10072,plain,
mult(mult(X1,op_a),op_b) = mult(X1,unit),
inference(step,[status(thm)],[t10071,t35]) ).
cnf(t10073,plain,
mult(mult(X1,op_a),op_b) = X1,
inference(step,[status(thm)],[t10072,t11]) ).
cnf(t9749,plain,
mult(mult(X1,op_a),op_b) = X1,
inference(orient,[status(thm)],[t10073]) ).
cnf(goal_0,negated_conjecture,
mult(mult(x0,op_a),op_b) != x0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
x0 != x0,
inference(rw,[status(thm)],[goal_0,t9749]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP715-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 15:49:03 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.11/1.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.11/1.48 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------