%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP665+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.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 01:27:58 PM UTC 2026
% Result : Theorem 2.73s 1.60s
% Output : Proof 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 9
% Syntax : Number of formulae : 101 ( 96 unt; 0 def)
% Number of atoms : 111 ( 110 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 35 ~; 6 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 152 ( 2 sgn 49 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [A] : mult(op_c,A) = mult(A,op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
fof(f8_nnf,plain,
! [A] : mult(op_c,A) = mult(A,op_c),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [A] : mult(op_c,A) = mult(A,op_c),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
mult(op_c,X0) = mult(X0,op_c),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(t5,plain,
mult(op_c,X1) = mult(X1,op_c),
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t38,plain,
mult(X1,op_c) = mult(op_c,X1),
inference(orient,[status(thm)],[t5]) ).
fof(f7,axiom,
! [C,B,A] : mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
fof(f7_nnf,plain,
! [C,B,A] : mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C))),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [A,B,C] : mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C))),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
mult(mult(X2,X1),X0) = mult(mult(X2,X0),ld(X0,mult(X1,X0))),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(t8,plain,
mult(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(mult(X1,X3),X2),
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t48,plain,
mult(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(mult(X1,X3),X2),
inference(orient,[status(thm)],[t8]) ).
fof(f2,axiom,
! [B,A] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f2_nnf,plain,
! [B,A] : mult(rd(A,B),B) = A,
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A,B] : mult(rd(A,B),B) = A,
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
mult(rd(X1,X0),X0) = X1,
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t6,plain,
mult(rd(X1,X2),X2) = X1,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t13,plain,
mult(rd(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t6]) ).
cnf(t51,plain,
mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))),
inference(cp,[status(thm)],[t48,t13]) ).
cnf(t115,plain,
mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))),
inference(orient,[status(thm)],[t51]) ).
cnf(t117,plain,
mult(X1,ld(op_c,mult(X2,op_c))) = mult(op_c,mult(rd(X1,op_c),X2)),
inference(cp,[status(thm)],[t115,t38]) ).
fof(f1,axiom,
! [B,A] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f1_nnf,plain,
! [B,A] : ld(A,mult(A,B)) = B,
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A,B] : ld(A,mult(A,B)) = B,
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t3,plain,
ld(X1,mult(X1,X2)) = X2,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t22,plain,
ld(X1,mult(X1,X2)) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t39,plain,
mult(op_c,rd(X1,op_c)) = X1,
inference(cp,[status(thm)],[t38,t13]) ).
cnf(t75,plain,
mult(op_c,rd(X1,op_c)) = X1,
inference(orient,[status(thm)],[t39]) ).
cnf(t77,plain,
rd(X1,op_c) = ld(op_c,X1),
inference(cp,[status(thm)],[t22,t75]) ).
cnf(t83,plain,
ld(op_c,X1) = rd(X1,op_c),
inference(orient,[status(thm)],[t77]) ).
cnf(t268,plain,
mult(X1,rd(mult(X2,op_c),op_c)) = mult(op_c,mult(rd(X1,op_c),X2)),
inference(step,[status(thm)],[t117,t83]) ).
fof(f3,axiom,
! [B,A] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f3_nnf,plain,
! [B,A] : rd(mult(A,B),B) = A,
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [A,B] : rd(mult(A,B),B) = A,
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t7,plain,
rd(mult(X1,X2),X2) = X1,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t18,plain,
rd(mult(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t7]) ).
cnf(t269,plain,
mult(X1,X2) = mult(op_c,mult(rd(X1,op_c),X2)),
inference(step,[status(thm)],[t268,t18]) ).
cnf(t131,plain,
mult(op_c,mult(rd(X1,op_c),X2)) = mult(X1,X2),
inference(orient,[status(thm)],[t269]) ).
cnf(t136,plain,
mult(mult(X1,op_c),X2) = mult(op_c,mult(X1,X2)),
inference(cp,[status(thm)],[t131,t18]) ).
cnf(t146,plain,
mult(mult(X1,op_c),X2) = mult(op_c,mult(X1,X2)),
inference(orient,[status(thm)],[t136]) ).
cnf(t41,plain,
X1 = rd(mult(op_c,X1),op_c),
inference(cp,[status(thm)],[t18,t38]) ).
cnf(t91,plain,
rd(mult(op_c,X1),op_c) = X1,
inference(orient,[status(thm)],[t41]) ).
cnf(t140,plain,
mult(rd(X1,op_c),X2) = rd(mult(X1,X2),op_c),
inference(cp,[status(thm)],[t91,t131]) ).
cnf(t169,plain,
mult(rd(X1,op_c),X2) = rd(mult(X1,X2),op_c),
inference(orient,[status(thm)],[t140]) ).
fof(f6,axiom,
! [C,B,A] : mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f6_nnf,plain,
! [C,B,A] : mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C)),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [A,B,C] : mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C)),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
mult(X2,mult(X1,X0)) = mult(rd(mult(X2,X1),X2),mult(X2,X0)),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(t9,plain,
mult(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(X2,X3)),
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t26,plain,
mult(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(X2,X3)),
inference(orient,[status(thm)],[t9]) ).
fof(f0,axiom,
! [B,A] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f0_nnf,plain,
! [B,A] : mult(A,ld(A,B)) = B,
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A,B] : mult(A,ld(A,B)) = B,
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
mult(X1,ld(X1,X0)) = X0,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t4,plain,
mult(X1,ld(X1,X2)) = X2,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t11,plain,
mult(X1,ld(X1,X2)) = X2,
inference(orient,[status(thm)],[t4]) ).
cnf(t27,plain,
mult(X1,mult(ld(X1,X2),X3)) = mult(rd(X2,X1),mult(X1,X3)),
inference(cp,[status(thm)],[t26,t11]) ).
cnf(t99,plain,
mult(rd(X1,X2),mult(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(orient,[status(thm)],[t27]) ).
cnf(t170,plain,
rd(mult(X1,mult(op_c,X2)),op_c) = mult(op_c,mult(ld(op_c,X1),X2)),
inference(cp,[status(thm)],[t169,t99]) ).
cnf(t274,plain,
rd(mult(X1,mult(op_c,X2)),op_c) = mult(op_c,mult(rd(X1,op_c),X2)),
inference(step,[status(thm)],[t170,t83]) ).
cnf(t275,plain,
rd(mult(X1,mult(op_c,X2)),op_c) = mult(op_c,rd(mult(X1,X2),op_c)),
inference(step,[status(thm)],[t274,t169]) ).
cnf(t276,plain,
rd(mult(X1,mult(op_c,X2)),op_c) = mult(X1,X2),
inference(step,[status(thm)],[t275,t75]) ).
cnf(t206,plain,
rd(mult(X1,mult(op_c,X2)),op_c) = mult(X1,X2),
inference(orient,[status(thm)],[t276]) ).
cnf(t219,plain,
mult(X1,mult(op_c,X2)) = mult(mult(X1,X2),op_c),
inference(cp,[status(thm)],[t13,t206]) ).
cnf(t278,plain,
mult(X1,mult(op_c,X2)) = mult(op_c,mult(X1,X2)),
inference(step,[status(thm)],[t219,t38]) ).
cnf(t232,plain,
mult(X1,mult(op_c,X2)) = mult(op_c,mult(X1,X2)),
inference(orient,[status(thm)],[t278]) ).
cnf(t2,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t17,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t2]) ).
fof(f9,conjecture,
! [X0,X1] :
( mult(mult(X0,X1),op_c) = mult(X0,mult(X1,op_c))
& mult(mult(X0,op_c),X1) = mult(X0,mult(op_c,X1))
& mult(op_c,mult(X0,X1)) = mult(mult(op_c,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f9_neg,negated_conjecture,
~ ! [X0,X1] :
( mult(mult(X0,X1),op_c) = mult(X0,mult(X1,op_c))
& mult(mult(X0,op_c),X1) = mult(X0,mult(op_c,X1))
& mult(op_c,mult(X0,X1)) = mult(mult(op_c,X0),X1) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f9_nnf,plain,
? [X0,X1] :
( mult(mult(X0,X1),op_c) != mult(X0,mult(X1,op_c))
| mult(mult(X0,op_c),X1) != mult(X0,mult(op_c,X1))
| mult(op_c,mult(X0,X1)) != mult(mult(op_c,X0),X1) ),
inference(nnf_transformation,[status(thm)],[f9_neg]) ).
fof(f9_sk,plain,
( mult(mult(sk0,sk1),op_c) != mult(sk0,mult(sk1,op_c))
| mult(mult(sk0,op_c),sk1) != mult(sk0,mult(op_c,sk1))
| mult(op_c,mult(sk0,sk1)) != mult(mult(op_c,sk0),sk1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f9_nnf]) ).
cnf(c9,plain,
( mult(mult(sk0,sk1),op_c) != mult(sk0,mult(sk1,op_c))
| mult(mult(sk0,op_c),sk1) != mult(sk0,mult(op_c,sk1))
| mult(op_c,mult(sk0,sk1)) != mult(mult(op_c,sk0),sk1) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(g0_0,plain,
true != ifeq(mult(op_c,mult(sk0,sk1)),mult(mult(sk0,op_c),sk1),ifeq(mult(mult(sk0,op_c),sk1),mult(sk0,mult(sk1,op_c)),ifeq(mult(op_c,mult(sk0,sk1)),mult(sk0,mult(sk1,op_c)),false,true),true),true),
inference(rw,[status(thm)],[goal_0]) ).
cnf(g0_1,plain,
true != ifeq(mult(op_c,mult(sk0,sk1)),mult(mult(sk0,op_c),sk1),ifeq(mult(mult(sk0,op_c),sk1),mult(sk0,mult(sk1,op_c)),ifeq(mult(op_c,mult(sk0,sk1)),mult(sk0,mult(op_c,sk1)),false,true),true),true),
inference(rw,[status(thm)],[g0_0,t38]) ).
cnf(g0_2,plain,
true != ifeq(mult(op_c,mult(sk0,sk1)),mult(mult(sk0,op_c),sk1),ifeq(mult(mult(sk0,op_c),sk1),mult(sk0,mult(sk1,op_c)),ifeq(mult(mult(sk0,sk1),op_c),mult(sk0,mult(op_c,sk1)),false,true),true),true),
inference(rw,[status(thm)],[g0_1,t38]) ).
cnf(g0_3,plain,
true != ifeq(mult(op_c,mult(sk0,sk1)),mult(mult(sk0,op_c),sk1),ifeq(mult(mult(sk0,op_c),sk1),mult(sk0,mult(op_c,sk1)),ifeq(mult(mult(sk0,sk1),op_c),mult(sk0,mult(op_c,sk1)),false,true),true),true),
inference(rw,[status(thm)],[g0_2,t38]) ).
cnf(g0_4,plain,
true != ifeq(mult(mult(sk0,sk1),op_c),mult(mult(sk0,op_c),sk1),ifeq(mult(mult(sk0,op_c),sk1),mult(sk0,mult(op_c,sk1)),ifeq(mult(mult(sk0,sk1),op_c),mult(sk0,mult(op_c,sk1)),false,true),true),true),
inference(rw,[status(thm)],[g0_3,t38]) ).
cnf(g0_5,plain,
true != ifeq(mult(mult(sk0,sk1),op_c),mult(mult(sk0,op_c),sk1),ifeq(mult(op_c,mult(sk0,sk1)),mult(sk0,mult(op_c,sk1)),ifeq(mult(mult(sk0,sk1),op_c),mult(sk0,mult(op_c,sk1)),false,true),true),true),
inference(rw,[status(thm)],[g0_4,t146]) ).
cnf(g0_6,plain,
true != ifeq(mult(mult(sk0,sk1),op_c),mult(op_c,mult(sk0,sk1)),ifeq(mult(op_c,mult(sk0,sk1)),mult(sk0,mult(op_c,sk1)),ifeq(mult(mult(sk0,sk1),op_c),mult(sk0,mult(op_c,sk1)),false,true),true),true),
inference(rw,[status(thm)],[g0_5,t146]) ).
cnf(g0_7,plain,
true != ifeq(mult(mult(sk0,sk1),op_c),mult(mult(sk0,sk1),op_c),ifeq(mult(op_c,mult(sk0,sk1)),mult(sk0,mult(op_c,sk1)),ifeq(mult(mult(sk0,sk1),op_c),mult(sk0,mult(op_c,sk1)),false,true),true),true),
inference(rw,[status(thm)],[g0_6,t38]) ).
cnf(g0_8,plain,
true != ifeq(mult(mult(sk0,sk1),op_c),mult(mult(sk0,sk1),op_c),ifeq(mult(sk0,mult(op_c,sk1)),mult(sk0,mult(op_c,sk1)),ifeq(mult(mult(sk0,sk1),op_c),mult(sk0,mult(op_c,sk1)),false,true),true),true),
inference(rw,[status(thm)],[g0_7,t232]) ).
cnf(g0_9,plain,
true != ifeq(mult(mult(sk0,sk1),op_c),mult(mult(sk0,sk1),op_c),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(op_c,sk1)),ifeq(mult(mult(sk0,sk1),op_c),mult(sk0,mult(op_c,sk1)),false,true),true),true),
inference(rw,[status(thm)],[g0_8,t38]) ).
cnf(g0_10,plain,
true != ifeq(mult(mult(sk0,sk1),op_c),mult(mult(sk0,sk1),op_c),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(op_c,sk1)),ifeq(mult(mult(sk0,sk1),op_c),mult(sk0,mult(sk1,op_c)),false,true),true),true),
inference(rw,[status(thm)],[g0_9,t38]) ).
cnf(g0_11,plain,
true != ifeq(mult(mult(sk0,sk1),op_c),mult(mult(sk0,sk1),op_c),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(op_c,sk1)),ifeq(mult(op_c,mult(sk0,sk1)),mult(sk0,mult(sk1,op_c)),false,true),true),true),
inference(rw,[status(thm)],[g0_10,t38]) ).
cnf(g0_12,plain,
true != ifeq(mult(mult(sk0,sk1),op_c),mult(mult(sk0,sk1),op_c),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(op_c,sk1)),ifeq(mult(sk0,mult(op_c,sk1)),mult(sk0,mult(sk1,op_c)),false,true),true),true),
inference(rw,[status(thm)],[g0_11,t232]) ).
cnf(g0_13,plain,
true != ifeq(mult(mult(sk0,sk1),op_c),mult(mult(sk0,sk1),op_c),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(op_c,sk1)),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(sk1,op_c)),false,true),true),true),
inference(rw,[status(thm)],[g0_12,t38]) ).
cnf(g0_14,plain,
true != ifeq(mult(mult(sk0,sk1),op_c),mult(mult(sk0,sk1),op_c),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(sk1,op_c)),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(sk1,op_c)),false,true),true),true),
inference(rw,[status(thm)],[g0_13,t38]) ).
cnf(g0_15,plain,
true != ifeq(mult(mult(sk0,sk1),op_c),mult(op_c,mult(sk0,sk1)),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(sk1,op_c)),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(sk1,op_c)),false,true),true),true),
inference(rw,[status(thm)],[g0_14,t38]) ).
cnf(g0_16,plain,
true != ifeq(mult(mult(sk0,sk1),op_c),mult(sk0,mult(op_c,sk1)),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(sk1,op_c)),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(sk1,op_c)),false,true),true),true),
inference(rw,[status(thm)],[g0_15,t232]) ).
cnf(g0_17,plain,
true != ifeq(mult(mult(sk0,sk1),op_c),mult(sk0,mult(sk1,op_c)),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(sk1,op_c)),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(sk1,op_c)),false,true),true),true),
inference(rw,[status(thm)],[g0_16,t38]) ).
cnf(g0_18,plain,
true != ifeq(mult(op_c,mult(sk0,sk1)),mult(sk0,mult(sk1,op_c)),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(sk1,op_c)),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(sk1,op_c)),false,true),true),true),
inference(rw,[status(thm)],[g0_17,t38]) ).
cnf(g0_19,plain,
true != ifeq(mult(sk0,mult(op_c,sk1)),mult(sk0,mult(sk1,op_c)),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(sk1,op_c)),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(sk1,op_c)),false,true),true),true),
inference(rw,[status(thm)],[g0_18,t232]) ).
cnf(g0_20,plain,
true != ifeq(mult(sk0,mult(op_c,sk1)),mult(sk0,mult(sk1,op_c)),ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(sk1,op_c)),false,true),true),
inference(rw,[status(thm)],[g0_19,t17]) ).
cnf(g0_21,plain,
true != ifeq(mult(sk0,mult(op_c,sk1)),mult(sk0,mult(sk1,op_c)),false,true),
inference(rw,[status(thm)],[g0_20,t17]) ).
cnf(g0_22,plain,
true != ifeq(mult(sk0,mult(sk1,op_c)),mult(sk0,mult(sk1,op_c)),false,true),
inference(rw,[status(thm)],[g0_21,t38]) ).
cnf(g0_23,plain,
true != false,
inference(rw,[status(thm)],[g0_22,t17]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP665+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.59 % Computer : n009.cluster.edu
% 0.09/0.59 % Model : x86_64 x86_64
% 0.09/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.59 % Memory : 8046.5625MB
% 0.09/0.59 % OS : Linux 6.8.0-71-generic
% 0.09/0.59 % CPULimit : 300
% 0.09/0.59 % WCLimit : 300
% 0.09/0.59 % DateTime : Wed Sep 23 15:35:59 UTC 2026
% 0.09/0.59 % CPUTime :
% 0.09/0.59 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.73/1.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.73/1.60 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------