%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : BOO002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.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 5.71s 1.19s
% Output : CNFRefutation 5.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of clauses : 55 ( 55 unt; 0 nHn; 3 RR)
% Number of literals : 55 ( 54 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 : 172 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,axiom,
multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) = multiply(X1,X2,multiply(X3,X4,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t7,plain,
multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5)) = multiply(X1,X2,multiply(X3,X4,X5)),
inference(orient,[status(thm)],[t3]) ).
cnf(t0,axiom,
multiply(X1,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t5,plain,
multiply(X1,X1,X2) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t11,plain,
multiply(X1,X1,multiply(X2,X3,X4)) = multiply(X1,X3,multiply(X1,X1,X4)),
inference(cp,[status(thm)],[t7,t5]) ).
cnf(t1483,plain,
X1 = multiply(X1,X3,multiply(X1,X1,X4)),
inference(step,[status(thm)],[t11,t5]) ).
cnf(t1484,plain,
X1 = multiply(X1,X3,X1),
inference(step,[status(thm)],[t1483,t5]) ).
cnf(t16,plain,
multiply(X1,X2,X1) = X1,
inference(orient,[status(thm)],[t1484]) ).
cnf(t18,plain,
multiply(X1,X2,multiply(X3,X4,X1)) = multiply(multiply(X1,X2,X3),X4,X1),
inference(cp,[status(thm)],[t7,t16]) ).
cnf(t31,plain,
multiply(multiply(X1,X2,X3),X4,X1) = multiply(X1,X2,multiply(X3,X4,X1)),
inference(orient,[status(thm)],[t18]) ).
cnf(t9,plain,
multiply(X1,X2,multiply(X3,multiply(X1,X2,X3),X4)) = multiply(X1,X2,X3),
inference(cp,[status(thm)],[t7,t5]) ).
cnf(t65,plain,
multiply(X1,X2,multiply(X3,multiply(X1,X2,X3),X4)) = multiply(X1,X2,X3),
inference(orient,[status(thm)],[t9]) ).
cnf(t1,axiom,
multiply(X1,X2,X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t4,plain,
multiply(X1,X2,X2) = X2,
inference(orient,[status(thm)],[t1]) ).
cnf(t12,plain,
multiply(X1,X2,multiply(X3,X4,X2)) = multiply(multiply(X1,X2,X3),X4,X2),
inference(cp,[status(thm)],[t7,t4]) ).
cnf(t19,plain,
multiply(multiply(X1,X2,X3),X4,X2) = multiply(X1,X2,multiply(X3,X4,X2)),
inference(orient,[status(thm)],[t12]) ).
cnf(t21,plain,
multiply(X1,X2,multiply(X1,X3,X2)) = multiply(X1,X3,X2),
inference(cp,[status(thm)],[t19,t16]) ).
cnf(t26,plain,
multiply(X1,X2,multiply(X1,X3,X2)) = multiply(X1,X3,X2),
inference(orient,[status(thm)],[t21]) ).
cnf(t66,plain,
multiply(X1,X2,X3) = multiply(X1,X2,multiply(X3,X4,multiply(X1,X2,X3))),
inference(cp,[status(thm)],[t65,t26]) ).
cnf(t83,plain,
multiply(X1,X2,multiply(X3,X4,multiply(X1,X2,X3))) = multiply(X1,X2,X3),
inference(orient,[status(thm)],[t66]) ).
cnf(t84,plain,
multiply(X1,multiply(X2,X3,X1),X2) = multiply(X1,multiply(X2,X3,X1),multiply(X2,X3,X1)),
inference(cp,[status(thm)],[t83,t65]) ).
cnf(t1485,plain,
multiply(X1,multiply(X2,X3,X1),X2) = multiply(X2,X3,X1),
inference(step,[status(thm)],[t84,t4]) ).
cnf(t97,plain,
multiply(X1,multiply(X2,X3,X1),X2) = multiply(X2,X3,X1),
inference(orient,[status(thm)],[t1485]) ).
cnf(t108,plain,
multiply(X1,multiply(X2,X3,X1),multiply(X2,X4,X1)) = multiply(multiply(X2,X3,X1),X4,X1),
inference(cp,[status(thm)],[t31,t97]) ).
cnf(t1244,plain,
multiply(X1,multiply(X2,X3,X1),multiply(X2,X4,X1)) = multiply(multiply(X2,X3,X1),X4,X1),
inference(orient,[status(thm)],[t108]) ).
cnf(t1283,plain,
multiply(multiply(X1,X2,X3),X1,X3) = multiply(X3,multiply(X1,X2,X3),X1),
inference(cp,[status(thm)],[t1244,t5]) ).
cnf(t1508,plain,
multiply(multiply(X1,X2,X3),X1,X3) = multiply(X1,X2,X3),
inference(step,[status(thm)],[t1283,t97]) ).
cnf(t1434,plain,
multiply(multiply(X1,X2,X3),X1,X3) = multiply(X1,X2,X3),
inference(orient,[status(thm)],[t1508]) ).
cnf(t2,axiom,
multiply(inverse(X1),X1,X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t6,plain,
multiply(inverse(X1),X1,X2) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t1310,plain,
multiply(multiply(inverse(X1),X2,X3),X1,X3) = multiply(X3,multiply(inverse(X1),X2,X3),X3),
inference(cp,[status(thm)],[t1244,t6]) ).
cnf(t1507,plain,
multiply(multiply(inverse(X1),X2,X3),X1,X3) = X3,
inference(step,[status(thm)],[t1310,t16]) ).
cnf(t1370,plain,
multiply(multiply(inverse(X1),X2,X3),X1,X3) = X3,
inference(orient,[status(thm)],[t1507]) ).
cnf(t8,plain,
multiply(X1,X2,multiply(X3,multiply(X1,X2,X4),X4)) = multiply(X1,X2,X4),
inference(cp,[status(thm)],[t7,t4]) ).
cnf(t48,plain,
multiply(X1,X2,multiply(X3,multiply(X1,X2,X4),X4)) = multiply(X1,X2,X4),
inference(orient,[status(thm)],[t8]) ).
cnf(t49,plain,
multiply(X1,X2,X3) = multiply(X1,X2,multiply(X1,X2,X3)),
inference(cp,[status(thm)],[t48,t5]) ).
cnf(t62,plain,
multiply(X1,X2,multiply(X1,X2,X3)) = multiply(X1,X2,X3),
inference(orient,[status(thm)],[t49]) ).
cnf(t64,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)],[t7,t62]) ).
cnf(t1492,plain,
multiply(X1,X2,multiply(X3,X4,multiply(X1,X2,X5))) = multiply(X1,X2,multiply(X3,X4,X5)),
inference(step,[status(thm)],[t64,t7]) ).
cnf(t243,plain,
multiply(X1,X2,multiply(X3,X4,multiply(X1,X2,X5))) = multiply(X1,X2,multiply(X3,X4,X5)),
inference(orient,[status(thm)],[t1492]) ).
cnf(t245,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)],[t243,t65]) ).
cnf(t1493,plain,
multiply(X1,multiply(X2,X3,X1),multiply(X2,X3,X4)) = multiply(X2,X3,X1),
inference(step,[status(thm)],[t245,t4]) ).
cnf(t275,plain,
multiply(X1,multiply(X2,X3,X1),multiply(X2,X3,X4)) = multiply(X2,X3,X1),
inference(orient,[status(thm)],[t1493]) ).
cnf(t287,plain,
multiply(X1,X2,X3) = multiply(X3,multiply(X1,X2,X3),X2),
inference(cp,[status(thm)],[t275,t4]) ).
cnf(t315,plain,
multiply(X1,multiply(X2,X3,X1),X3) = multiply(X2,X3,X1),
inference(orient,[status(thm)],[t287]) ).
cnf(t327,plain,
multiply(X1,multiply(X2,X3,X1),X3) = multiply(X3,multiply(X2,X3,X1),X1),
inference(cp,[status(thm)],[t97,t315]) ).
cnf(t1494,plain,
multiply(X2,X3,X1) = multiply(X3,multiply(X2,X3,X1),X1),
inference(step,[status(thm)],[t327,t315]) ).
cnf(t348,plain,
multiply(X1,multiply(X2,X1,X3),X3) = multiply(X2,X1,X3),
inference(orient,[status(thm)],[t1494]) ).
cnf(t1375,plain,
X1 = multiply(multiply(X2,inverse(X3),X1),X3,X1),
inference(cp,[status(thm)],[t1370,t348]) ).
cnf(t1390,plain,
multiply(multiply(X1,inverse(X2),X3),X2,X3) = X3,
inference(orient,[status(thm)],[t1375]) ).
cnf(t1435,plain,
multiply(X1,inverse(X1),X2) = X2,
inference(cp,[status(thm)],[t1434,t1390]) ).
cnf(t1477,plain,
multiply(X1,inverse(X1),X2) = X2,
inference(orient,[status(thm)],[t1435]) ).
cnf(goal_0,negated_conjecture,
multiply(a,inverse(a),b) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
b != b,
inference(rw,[status(thm)],[goal_0,t1477]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 06:25:43 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.71/1.19 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.71/1.19 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------