%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP700-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n026.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 01:28:05 PM UTC 2026
% Result : Unsatisfiable 3.99s 1.14s
% Output : CNFRefutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of clauses : 39 ( 39 unt; 0 nHn; 8 RR)
% Number of literals : 39 ( 38 equ; 3 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 : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eg0,negated_conjecture,
tuple(mult(X1,x0),mult(x0,X1)) != tuple(unit,unit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7,plain,
eq(tuple(mult(X1,x0),mult(x0,X1)),tuple(unit,unit)) = efalse,
inference(equality_encoding,[status(esa)],[eg0]) ).
cnf(t52,plain,
eq(tuple(mult(X1,x0),mult(x0,X1)),tuple(unit,unit)) = efalse,
inference(orient,[status(thm)],[t7]) ).
cnf(t6,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t16,plain,
rd(mult(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t6]) ).
cnf(t3,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t20,plain,
ld(X1,mult(X1,X2)) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t9,axiom,
mult(mult(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(mult(mult(X2,X1),X1),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t24,plain,
mult(mult(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(mult(mult(X2,X1),X1),X3)),
inference(orient,[status(thm)],[t9]) ).
cnf(t1,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
mult(X1,unit) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t29,plain,
mult(X1,mult(mult(mult(X2,X1),X1),unit)) = mult(mult(mult(X1,X2),X1),X1),
inference(cp,[status(thm)],[t24,t11]) ).
cnf(t338,plain,
mult(X1,mult(mult(X2,X1),X1)) = mult(mult(mult(X1,X2),X1),X1),
inference(step,[status(thm)],[t29,t11]) ).
cnf(t96,plain,
mult(mult(mult(X1,X2),X1),X1) = mult(X1,mult(mult(X2,X1),X1)),
inference(orient,[status(thm)],[t338]) ).
cnf(t4,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t10,plain,
mult(X1,ld(X1,X2)) = X2,
inference(orient,[status(thm)],[t4]) ).
cnf(t100,plain,
mult(X1,mult(mult(ld(X1,X2),X1),X1)) = mult(mult(X2,X1),X1),
inference(cp,[status(thm)],[t96,t10]) ).
cnf(t266,plain,
mult(X1,mult(mult(ld(X1,X2),X1),X1)) = mult(mult(X2,X1),X1),
inference(orient,[status(thm)],[t100]) ).
cnf(t275,plain,
mult(mult(ld(X1,X2),X1),X1) = ld(X1,mult(mult(X2,X1),X1)),
inference(cp,[status(thm)],[t20,t266]) ).
cnf(t284,plain,
ld(X1,mult(mult(X2,X1),X1)) = mult(mult(ld(X1,X2),X1),X1),
inference(orient,[status(thm)],[t275]) ).
cnf(t2,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t12,plain,
mult(unit,X1) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t297,plain,
mult(mult(ld(X1,unit),X1),X1) = ld(X1,mult(X1,X1)),
inference(cp,[status(thm)],[t284,t12]) ).
cnf(t345,plain,
mult(mult(ld(X1,unit),X1),X1) = X1,
inference(step,[status(thm)],[t297,t20]) ).
cnf(t301,plain,
mult(mult(ld(X1,unit),X1),X1) = X1,
inference(orient,[status(thm)],[t345]) ).
cnf(t307,plain,
mult(ld(X1,unit),X1) = rd(X1,X1),
inference(cp,[status(thm)],[t16,t301]) ).
cnf(t19,plain,
unit = rd(X1,X1),
inference(cp,[status(thm)],[t16,t12]) ).
cnf(t60,plain,
rd(X1,X1) = unit,
inference(orient,[status(thm)],[t19]) ).
cnf(t346,plain,
mult(ld(X1,unit),X1) = unit,
inference(step,[status(thm)],[t307,t60]) ).
cnf(t318,plain,
mult(ld(X1,unit),X1) = unit,
inference(orient,[status(thm)],[t346]) ).
cnf(t328,plain,
efalse = eq(tuple(unit,mult(x0,ld(x0,unit))),tuple(unit,unit)),
inference(cp,[status(thm)],[t52,t318]) ).
cnf(t347,plain,
efalse = eq(tuple(unit,unit),tuple(unit,unit)),
inference(step,[status(thm)],[t328,t10]) ).
cnf(t0,plain,
eq(X1,X1) = etrue,
introduced(definition) ).
cnf(t51,plain,
eq(X1,X1) = etrue,
inference(orient,[status(thm)],[t0]) ).
cnf(t348,plain,
efalse = etrue,
inference(step,[status(thm)],[t347,t51]) ).
cnf(t330,plain,
efalse = etrue,
inference(orient,[status(thm)],[t348]) ).
cnf(goal_0,negated_conjecture,
etrue != efalse,
introduced(definition) ).
cnf(g0_0,plain,
etrue != etrue,
inference(rw,[status(thm)],[goal_0,t330]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP700-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.38 % Computer : n026.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Sep 23 15:47:24 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.99/1.14 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.99/1.14 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------