%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : BOO002-2 : TPTP v9.3.1. Released v1.1.0.
% 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 12:59:31 PM UTC 2026
% Result : Unsatisfiable 3.73s 1.20s
% Output : CNFRefutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of clauses : 53 ( 53 unt; 0 nHn; 3 RR)
% Number of literals : 53 ( 52 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 165 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t4,axiom,
multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) = multiply(X1,X2,multiply(X3,X4,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) = multiply(X1,X2,multiply(X3,X4,X5)),
inference(orient,[status(thm)],[t4]) ).
cnf(t1,axiom,
multiply(X1,X2,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t6,plain,
multiply(X1,X2,X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t15,plain,
multiply(X1,X2,multiply(X3,X4,X1)) = multiply(multiply(X1,X2,X3),X4,X1),
inference(cp,[status(thm)],[t9,t6]) ).
cnf(t30,plain,
multiply(multiply(X1,X2,X3),X4,X1) = multiply(X1,X2,multiply(X3,X4,X1)),
inference(orient,[status(thm)],[t15]) ).
cnf(t0,axiom,
multiply(X1,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7,plain,
multiply(X1,X1,X2) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t11,plain,
multiply(X1,X2,multiply(X3,multiply(X1,X2,X3),X4)) = multiply(X1,X2,X3),
inference(cp,[status(thm)],[t9,t7]) ).
cnf(t64,plain,
multiply(X1,X2,multiply(X3,multiply(X1,X2,X3),X4)) = multiply(X1,X2,X3),
inference(orient,[status(thm)],[t11]) ).
cnf(t2,axiom,
multiply(X1,X2,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t5,plain,
multiply(X1,X2,X2) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t14,plain,
multiply(X1,X2,multiply(X3,X4,X2)) = multiply(multiply(X1,X2,X3),X4,X2),
inference(cp,[status(thm)],[t9,t5]) ).
cnf(t18,plain,
multiply(multiply(X1,X2,X3),X4,X2) = multiply(X1,X2,multiply(X3,X4,X2)),
inference(orient,[status(thm)],[t14]) ).
cnf(t20,plain,
multiply(X1,X2,multiply(X1,X3,X2)) = multiply(X1,X3,X2),
inference(cp,[status(thm)],[t18,t6]) ).
cnf(t25,plain,
multiply(X1,X2,multiply(X1,X3,X2)) = multiply(X1,X3,X2),
inference(orient,[status(thm)],[t20]) ).
cnf(t65,plain,
multiply(X1,X2,X3) = multiply(X1,X2,multiply(X3,X4,multiply(X1,X2,X3))),
inference(cp,[status(thm)],[t64,t25]) ).
cnf(t82,plain,
multiply(X1,X2,multiply(X3,X4,multiply(X1,X2,X3))) = multiply(X1,X2,X3),
inference(orient,[status(thm)],[t65]) ).
cnf(t83,plain,
multiply(X1,multiply(X2,X3,X1),X2) = multiply(X1,multiply(X2,X3,X1),multiply(X2,X3,X1)),
inference(cp,[status(thm)],[t82,t64]) ).
cnf(t1482,plain,
multiply(X1,multiply(X2,X3,X1),X2) = multiply(X2,X3,X1),
inference(step,[status(thm)],[t83,t5]) ).
cnf(t96,plain,
multiply(X1,multiply(X2,X3,X1),X2) = multiply(X2,X3,X1),
inference(orient,[status(thm)],[t1482]) ).
cnf(t107,plain,
multiply(X1,multiply(X2,X3,X1),multiply(X2,X4,X1)) = multiply(multiply(X2,X3,X1),X4,X1),
inference(cp,[status(thm)],[t30,t96]) ).
cnf(t1243,plain,
multiply(X1,multiply(X2,X3,X1),multiply(X2,X4,X1)) = multiply(multiply(X2,X3,X1),X4,X1),
inference(orient,[status(thm)],[t107]) ).
cnf(t1282,plain,
multiply(multiply(X1,X2,X3),X1,X3) = multiply(X3,multiply(X1,X2,X3),X1),
inference(cp,[status(thm)],[t1243,t7]) ).
cnf(t1505,plain,
multiply(multiply(X1,X2,X3),X1,X3) = multiply(X1,X2,X3),
inference(step,[status(thm)],[t1282,t96]) ).
cnf(t1433,plain,
multiply(multiply(X1,X2,X3),X1,X3) = multiply(X1,X2,X3),
inference(orient,[status(thm)],[t1505]) ).
cnf(t3,axiom,
multiply(inverse(X1),X1,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t8,plain,
multiply(inverse(X1),X1,X2) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t1309,plain,
multiply(multiply(inverse(X1),X2,X3),X1,X3) = multiply(X3,multiply(inverse(X1),X2,X3),X3),
inference(cp,[status(thm)],[t1243,t8]) ).
cnf(t1504,plain,
multiply(multiply(inverse(X1),X2,X3),X1,X3) = X3,
inference(step,[status(thm)],[t1309,t6]) ).
cnf(t1369,plain,
multiply(multiply(inverse(X1),X2,X3),X1,X3) = X3,
inference(orient,[status(thm)],[t1504]) ).
cnf(t10,plain,
multiply(X1,X2,multiply(X3,multiply(X1,X2,X4),X4)) = multiply(X1,X2,X4),
inference(cp,[status(thm)],[t9,t5]) ).
cnf(t47,plain,
multiply(X1,X2,multiply(X3,multiply(X1,X2,X4),X4)) = multiply(X1,X2,X4),
inference(orient,[status(thm)],[t10]) ).
cnf(t48,plain,
multiply(X1,X2,X3) = multiply(X1,X2,multiply(X1,X2,X3)),
inference(cp,[status(thm)],[t47,t7]) ).
cnf(t61,plain,
multiply(X1,X2,multiply(X1,X2,X3)) = multiply(X1,X2,X3),
inference(orient,[status(thm)],[t48]) ).
cnf(t63,plain,
multiply(X1,X2,multiply(X3,X4,multiply(X1,X2,X5))) = multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)),
inference(cp,[status(thm)],[t9,t61]) ).
cnf(t1489,plain,
multiply(X1,X2,multiply(X3,X4,multiply(X1,X2,X5))) = multiply(X1,X2,multiply(X3,X4,X5)),
inference(step,[status(thm)],[t63,t9]) ).
cnf(t242,plain,
multiply(X1,X2,multiply(X3,X4,multiply(X1,X2,X5))) = multiply(X1,X2,multiply(X3,X4,X5)),
inference(orient,[status(thm)],[t1489]) ).
cnf(t244,plain,
multiply(X1,multiply(X2,X3,X1),multiply(X2,X3,X4)) = multiply(X1,multiply(X2,X3,X1),multiply(X2,X3,X1)),
inference(cp,[status(thm)],[t242,t64]) ).
cnf(t1490,plain,
multiply(X1,multiply(X2,X3,X1),multiply(X2,X3,X4)) = multiply(X2,X3,X1),
inference(step,[status(thm)],[t244,t5]) ).
cnf(t274,plain,
multiply(X1,multiply(X2,X3,X1),multiply(X2,X3,X4)) = multiply(X2,X3,X1),
inference(orient,[status(thm)],[t1490]) ).
cnf(t286,plain,
multiply(X1,X2,X3) = multiply(X3,multiply(X1,X2,X3),X2),
inference(cp,[status(thm)],[t274,t5]) ).
cnf(t314,plain,
multiply(X1,multiply(X2,X3,X1),X3) = multiply(X2,X3,X1),
inference(orient,[status(thm)],[t286]) ).
cnf(t326,plain,
multiply(X1,multiply(X2,X3,X1),X3) = multiply(X3,multiply(X2,X3,X1),X1),
inference(cp,[status(thm)],[t96,t314]) ).
cnf(t1491,plain,
multiply(X2,X3,X1) = multiply(X3,multiply(X2,X3,X1),X1),
inference(step,[status(thm)],[t326,t314]) ).
cnf(t347,plain,
multiply(X1,multiply(X2,X1,X3),X3) = multiply(X2,X1,X3),
inference(orient,[status(thm)],[t1491]) ).
cnf(t1374,plain,
X1 = multiply(multiply(X2,inverse(X3),X1),X3,X1),
inference(cp,[status(thm)],[t1369,t347]) ).
cnf(t1389,plain,
multiply(multiply(X1,inverse(X2),X3),X2,X3) = X3,
inference(orient,[status(thm)],[t1374]) ).
cnf(t1434,plain,
multiply(X1,inverse(X1),X2) = X2,
inference(cp,[status(thm)],[t1433,t1389]) ).
cnf(t1476,plain,
multiply(X1,inverse(X1),X2) = X2,
inference(orient,[status(thm)],[t1434]) ).
cnf(goal_0,negated_conjecture,
multiply(a,inverse(a),b) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
b != b,
inference(rw,[status(thm)],[goal_0,t1476]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO002-2 : TPTP v9.3.1. Released v1.1.0.
% 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 : Fri Sep 25 06:30:28 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.73/1.20 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.73/1.20 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------