%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP616-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n017.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 01:27:40 PM UTC 2026
% Result : Unsatisfiable 4.08s 0.98s
% Output : CNFRefutation 4.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 6
% Syntax : Number of clauses : 121 ( 121 unt; 0 nHn; 36 RR)
% Number of literals : 121 ( 120 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 121 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
sF0 = double_divide(b,a),
introduced(definition) ).
cnf(t5,plain,
double_divide(b,a) = sF0,
inference(orient,[status(thm)],[t1]) ).
cnf(t3,axiom,
sF2 = double_divide(a,b),
introduced(definition) ).
cnf(t6,plain,
double_divide(a,b) = sF2,
inference(orient,[status(thm)],[t3]) ).
cnf(t0,axiom,
double_divide(inverse(double_divide(inverse(double_divide(X1,inverse(X2))),X3)),double_divide(X1,X3)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
double_divide(inverse(double_divide(inverse(double_divide(X1,inverse(X2))),X3)),double_divide(X1,X3)) = X2,
inference(orient,[status(thm)],[t0]) ).
cnf(t2,axiom,
sF1 = inverse(double_divide(b,a)),
introduced(definition) ).
cnf(t3420,plain,
sF1 = inverse(sF0),
inference(step,[status(thm)],[t2,t5]) ).
cnf(t7,plain,
inverse(sF0) = sF1,
inference(orient,[status(thm)],[t3420]) ).
cnf(t12,plain,
sF0 = double_divide(inverse(double_divide(inverse(double_divide(X1,sF1)),X2)),double_divide(X1,X2)),
inference(cp,[status(thm)],[t9,t7]) ).
cnf(t30,plain,
double_divide(inverse(double_divide(inverse(double_divide(X1,sF1)),X2)),double_divide(X1,X2)) = sF0,
inference(orient,[status(thm)],[t12]) ).
cnf(t15,plain,
X1 = double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(X2,inverse(X3))),Y3)),inverse(X1))),double_divide(X2,Y3))),X3),
inference(cp,[status(thm)],[t9,t9]) ).
cnf(t147,plain,
double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(X1,inverse(X2))),X3)),inverse(Y3))),double_divide(X1,X3))),X2) = Y3,
inference(orient,[status(thm)],[t15]) ).
cnf(t179,plain,
X1 = double_divide(inverse(double_divide(inverse(X2),double_divide(inverse(double_divide(inverse(double_divide(X3,inverse(inverse(X1)))),Y3)),double_divide(X3,Y3)))),X2),
inference(cp,[status(thm)],[t147,t147]) ).
cnf(t3434,plain,
X1 = double_divide(inverse(double_divide(inverse(X2),inverse(X1))),X2),
inference(step,[status(thm)],[t179,t9]) ).
cnf(t245,plain,
double_divide(inverse(double_divide(inverse(X1),inverse(X2))),X1) = X2,
inference(orient,[status(thm)],[t3434]) ).
cnf(t246,plain,
X1 = double_divide(inverse(double_divide(sF1,inverse(X1))),sF0),
inference(cp,[status(thm)],[t245,t7]) ).
cnf(t282,plain,
double_divide(inverse(double_divide(sF1,inverse(X1))),sF0) = X1,
inference(orient,[status(thm)],[t246]) ).
cnf(t285,plain,
X1 = double_divide(inverse(X1),double_divide(sF1,sF0)),
inference(cp,[status(thm)],[t9,t282]) ).
cnf(t330,plain,
double_divide(inverse(X1),double_divide(sF1,sF0)) = X1,
inference(orient,[status(thm)],[t285]) ).
cnf(t332,plain,
double_divide(inverse(double_divide(sF1,sF0)),inverse(X1)) = X1,
inference(cp,[status(thm)],[t330,t245]) ).
cnf(t519,plain,
double_divide(inverse(double_divide(sF1,sF0)),inverse(X1)) = X1,
inference(orient,[status(thm)],[t332]) ).
cnf(t522,plain,
sF0 = double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(sF1,sF0)),sF1)),inverse(X1))),X1),
inference(cp,[status(thm)],[t30,t519]) ).
cnf(t247,plain,
sF0 = double_divide(inverse(double_divide(inverse(X1),sF1)),X1),
inference(cp,[status(thm)],[t245,t7]) ).
cnf(t338,plain,
double_divide(inverse(double_divide(inverse(X1),sF1)),X1) = sF0,
inference(orient,[status(thm)],[t247]) ).
cnf(t343,plain,
sF0 = double_divide(inverse(double_divide(sF1,sF0)),sF1),
inference(cp,[status(thm)],[t338,t330]) ).
cnf(t378,plain,
double_divide(inverse(double_divide(sF1,sF0)),sF1) = sF0,
inference(orient,[status(thm)],[t343]) ).
cnf(t3452,plain,
sF0 = double_divide(inverse(double_divide(inverse(sF0),inverse(X1))),X1),
inference(step,[status(thm)],[t522,t378]) ).
cnf(t3453,plain,
sF0 = double_divide(inverse(double_divide(sF1,inverse(X1))),X1),
inference(step,[status(thm)],[t3452,t7]) ).
cnf(t710,plain,
double_divide(inverse(double_divide(sF1,inverse(X1))),X1) = sF0,
inference(orient,[status(thm)],[t3453]) ).
cnf(t740,plain,
X1 = double_divide(inverse(sF0),double_divide(sF1,inverse(inverse(X1)))),
inference(cp,[status(thm)],[t245,t710]) ).
cnf(t3464,plain,
X1 = double_divide(sF1,double_divide(sF1,inverse(inverse(X1)))),
inference(step,[status(thm)],[t740,t7]) ).
cnf(t40,plain,
X1 = double_divide(inverse(sF0),double_divide(inverse(double_divide(X2,sF1)),double_divide(X2,inverse(X1)))),
inference(cp,[status(thm)],[t9,t30]) ).
cnf(t3426,plain,
X1 = double_divide(sF1,double_divide(inverse(double_divide(X2,sF1)),double_divide(X2,inverse(X1)))),
inference(step,[status(thm)],[t40,t7]) ).
cnf(t78,plain,
double_divide(sF1,double_divide(inverse(double_divide(X1,sF1)),double_divide(X1,inverse(X2)))) = X2,
inference(orient,[status(thm)],[t3426]) ).
cnf(t524,plain,
X1 = double_divide(sF1,double_divide(inverse(double_divide(inverse(double_divide(sF1,sF0)),sF1)),X1)),
inference(cp,[status(thm)],[t78,t519]) ).
cnf(t3443,plain,
X1 = double_divide(sF1,double_divide(inverse(sF0),X1)),
inference(step,[status(thm)],[t524,t378]) ).
cnf(t3444,plain,
X1 = double_divide(sF1,double_divide(sF1,X1)),
inference(step,[status(thm)],[t3443,t7]) ).
cnf(t537,plain,
double_divide(sF1,double_divide(sF1,X1)) = X1,
inference(orient,[status(thm)],[t3444]) ).
cnf(t3465,plain,
X1 = inverse(inverse(X1)),
inference(step,[status(thm)],[t3464,t537]) ).
cnf(t888,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t3465]) ).
cnf(t903,plain,
inverse(X1) = double_divide(inverse(double_divide(inverse(X2),X1)),X2),
inference(cp,[status(thm)],[t245,t888]) ).
cnf(t3126,plain,
double_divide(inverse(double_divide(inverse(X1),X2)),X1) = inverse(X2),
inference(orient,[status(thm)],[t903]) ).
cnf(t3148,plain,
inverse(X1) = double_divide(inverse(inverse(X2)),double_divide(inverse(X1),X2)),
inference(cp,[status(thm)],[t3126,t3126]) ).
cnf(t3655,plain,
inverse(X1) = double_divide(X2,double_divide(inverse(X1),X2)),
inference(step,[status(thm)],[t3148,t888]) ).
cnf(t3286,plain,
double_divide(X1,double_divide(inverse(X2),X1)) = inverse(X2),
inference(orient,[status(thm)],[t3655]) ).
cnf(t3294,plain,
inverse(inverse(X1)) = double_divide(X2,double_divide(X1,X2)),
inference(cp,[status(thm)],[t3286,t888]) ).
cnf(t3656,plain,
X1 = double_divide(X2,double_divide(X1,X2)),
inference(step,[status(thm)],[t3294,t888]) ).
cnf(t3327,plain,
double_divide(X1,double_divide(X2,X1)) = X2,
inference(orient,[status(thm)],[t3656]) ).
cnf(t3335,plain,
b = double_divide(a,sF0),
inference(cp,[status(thm)],[t3327,t5]) ).
cnf(t31,plain,
sF0 = double_divide(inverse(X1),double_divide(inverse(double_divide(X2,inverse(X1))),double_divide(X2,sF1))),
inference(cp,[status(thm)],[t30,t9]) ).
cnf(t86,plain,
double_divide(inverse(X1),double_divide(inverse(double_divide(X2,inverse(X1))),double_divide(X2,sF1))) = sF0,
inference(orient,[status(thm)],[t31]) ).
cnf(t89,plain,
sF0 = double_divide(inverse(sF0),double_divide(X1,double_divide(inverse(double_divide(X2,inverse(double_divide(X1,sF1)))),double_divide(X2,sF1)))),
inference(cp,[status(thm)],[t30,t86]) ).
cnf(t3428,plain,
sF0 = double_divide(sF1,double_divide(X1,double_divide(inverse(double_divide(X2,inverse(double_divide(X1,sF1)))),double_divide(X2,sF1)))),
inference(step,[status(thm)],[t89,t7]) ).
cnf(t139,plain,
double_divide(sF1,double_divide(X1,double_divide(inverse(double_divide(X2,inverse(double_divide(X1,sF1)))),double_divide(X2,sF1)))) = sF0,
inference(orient,[status(thm)],[t3428]) ).
cnf(t733,plain,
sF0 = double_divide(sF1,double_divide(inverse(double_divide(sF1,inverse(sF1))),double_divide(inverse(double_divide(X1,inverse(sF0))),double_divide(X1,sF1)))),
inference(cp,[status(thm)],[t139,t710]) ).
cnf(t3454,plain,
sF0 = double_divide(sF1,double_divide(inverse(double_divide(sF1,inverse(sF1))),double_divide(inverse(double_divide(X1,sF1)),double_divide(X1,sF1)))),
inference(step,[status(thm)],[t733,t7]) ).
cnf(t38,plain,
sF0 = double_divide(inverse(sF0),double_divide(inverse(double_divide(X1,sF1)),double_divide(X1,sF1))),
inference(cp,[status(thm)],[t30,t30]) ).
cnf(t3422,plain,
sF0 = double_divide(sF1,double_divide(inverse(double_divide(X1,sF1)),double_divide(X1,sF1))),
inference(step,[status(thm)],[t38,t7]) ).
cnf(t45,plain,
double_divide(sF1,double_divide(inverse(double_divide(X1,sF1)),double_divide(X1,sF1))) = sF0,
inference(orient,[status(thm)],[t3422]) ).
cnf(t185,plain,
sF0 = double_divide(sF1,double_divide(inverse(X1),double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(X2,inverse(sF1))),X3)),inverse(X1))),double_divide(X2,X3))),sF1))),
inference(cp,[status(thm)],[t45,t147]) ).
cnf(t3430,plain,
sF0 = double_divide(sF1,double_divide(inverse(X1),X1)),
inference(step,[status(thm)],[t185,t147]) ).
cnf(t209,plain,
double_divide(sF1,double_divide(inverse(X1),X1)) = sF0,
inference(orient,[status(thm)],[t3430]) ).
cnf(t546,plain,
double_divide(inverse(X1),X1) = double_divide(sF1,sF0),
inference(cp,[status(thm)],[t537,t209]) ).
cnf(t559,plain,
double_divide(inverse(X1),X1) = double_divide(sF1,sF0),
inference(orient,[status(thm)],[t546]) ).
cnf(t3455,plain,
sF0 = double_divide(sF1,double_divide(inverse(double_divide(sF1,inverse(sF1))),double_divide(sF1,sF0))),
inference(step,[status(thm)],[t3454,t559]) ).
cnf(t3456,plain,
sF0 = double_divide(sF1,double_divide(sF1,inverse(sF1))),
inference(step,[status(thm)],[t3455,t330]) ).
cnf(t3457,plain,
sF0 = inverse(sF1),
inference(step,[status(thm)],[t3456,t537]) ).
cnf(t741,plain,
inverse(sF1) = sF0,
inference(orient,[status(thm)],[t3457]) ).
cnf(t754,plain,
X1 = double_divide(inverse(double_divide(sF0,inverse(X1))),sF1),
inference(cp,[status(thm)],[t245,t741]) ).
cnf(t372,plain,
X1 = double_divide(inverse(sF0),double_divide(inverse(inverse(X1)),sF1)),
inference(cp,[status(thm)],[t245,t338]) ).
cnf(t3450,plain,
X1 = double_divide(sF1,double_divide(inverse(inverse(X1)),sF1)),
inference(step,[status(thm)],[t372,t7]) ).
cnf(t672,plain,
double_divide(sF1,double_divide(inverse(inverse(X1)),sF1)) = X1,
inference(orient,[status(thm)],[t3450]) ).
cnf(t677,plain,
double_divide(inverse(inverse(X1)),sF1) = double_divide(sF1,X1),
inference(cp,[status(thm)],[t537,t672]) ).
cnf(t678,plain,
double_divide(inverse(inverse(X1)),sF1) = double_divide(sF1,X1),
inference(orient,[status(thm)],[t677]) ).
cnf(t3466,plain,
double_divide(X1,sF1) = double_divide(sF1,X1),
inference(step,[status(thm)],[t678,t888]) ).
cnf(t889,plain,
double_divide(X1,sF1) = double_divide(sF1,X1),
inference(rw,[status(thm)],[t3466]) ).
cnf(t1158,plain,
double_divide(X1,sF1) = double_divide(sF1,X1),
inference(orient,[status(thm)],[t889]) ).
cnf(t3574,plain,
X1 = double_divide(sF1,inverse(double_divide(sF0,inverse(X1)))),
inference(step,[status(thm)],[t754,t1158]) ).
cnf(t2346,plain,
double_divide(sF1,inverse(double_divide(sF0,inverse(X1)))) = X1,
inference(orient,[status(thm)],[t3574]) ).
cnf(t2366,plain,
inverse(double_divide(sF0,inverse(X1))) = double_divide(sF1,X1),
inference(cp,[status(thm)],[t537,t2346]) ).
cnf(t2372,plain,
inverse(double_divide(sF0,inverse(X1))) = double_divide(sF1,X1),
inference(orient,[status(thm)],[t2366]) ).
cnf(t2376,plain,
double_divide(sF1,inverse(X1)) = inverse(double_divide(sF0,X1)),
inference(cp,[status(thm)],[t2372,t888]) ).
cnf(t2440,plain,
inverse(double_divide(sF0,X1)) = double_divide(sF1,inverse(X1)),
inference(orient,[status(thm)],[t2376]) ).
cnf(t2466,plain,
double_divide(sF0,X1) = inverse(double_divide(sF1,inverse(X1))),
inference(cp,[status(thm)],[t888,t2440]) ).
cnf(t904,plain,
inverse(X1) = double_divide(inverse(double_divide(sF1,X1)),sF0),
inference(cp,[status(thm)],[t282,t888]) ).
cnf(t1240,plain,
double_divide(inverse(double_divide(sF1,X1)),sF0) = inverse(X1),
inference(orient,[status(thm)],[t904]) ).
cnf(t1249,plain,
inverse(double_divide(sF1,X1)) = double_divide(inverse(X1),sF0),
inference(cp,[status(thm)],[t1240,t537]) ).
cnf(t1311,plain,
inverse(double_divide(sF1,X1)) = double_divide(inverse(X1),sF0),
inference(orient,[status(thm)],[t1249]) ).
cnf(t3583,plain,
double_divide(sF0,X1) = double_divide(inverse(inverse(X1)),sF0),
inference(step,[status(thm)],[t2466,t1311]) ).
cnf(t3584,plain,
double_divide(sF0,X1) = double_divide(X1,sF0),
inference(step,[status(thm)],[t3583,t888]) ).
cnf(t2494,plain,
double_divide(sF0,X1) = double_divide(X1,sF0),
inference(orient,[status(thm)],[t3584]) ).
cnf(t3664,plain,
b = double_divide(sF0,a),
inference(step,[status(thm)],[t3335,t2494]) ).
cnf(t3382,plain,
double_divide(sF0,a) = b,
inference(orient,[status(thm)],[t3664]) ).
cnf(t3385,plain,
sF0 = double_divide(inverse(double_divide(inverse(double_divide(sF0,sF1)),a)),b),
inference(cp,[status(thm)],[t30,t3382]) ).
cnf(t3665,plain,
sF0 = double_divide(inverse(double_divide(double_divide(sF1,inverse(sF1)),a)),b),
inference(step,[status(thm)],[t3385,t2440]) ).
cnf(t914,plain,
double_divide(sF1,sF0) = double_divide(X1,inverse(X1)),
inference(cp,[status(thm)],[t559,t888]) ).
cnf(t762,plain,
double_divide(sF1,sF0) = double_divide(sF0,sF1),
inference(cp,[status(thm)],[t559,t741]) ).
cnf(t928,plain,
double_divide(sF1,sF0) = double_divide(sF0,sF1),
inference(orient,[status(thm)],[t762]) ).
cnf(t3479,plain,
double_divide(sF0,sF1) = double_divide(X1,inverse(X1)),
inference(step,[status(thm)],[t914,t928]) ).
cnf(t964,plain,
double_divide(X1,inverse(X1)) = double_divide(sF0,sF1),
inference(orient,[status(thm)],[t3479]) ).
cnf(t3666,plain,
sF0 = double_divide(inverse(double_divide(double_divide(sF0,sF1),a)),b),
inference(step,[status(thm)],[t3665,t964]) ).
cnf(t986,plain,
inverse(X1) = double_divide(inverse(double_divide(sF0,sF1)),X1),
inference(cp,[status(thm)],[t245,t964]) ).
cnf(t1320,plain,
double_divide(inverse(inverse(sF1)),sF0) = inverse(double_divide(sF0,sF1)),
inference(cp,[status(thm)],[t1311,t964]) ).
cnf(t3515,plain,
double_divide(sF1,sF0) = inverse(double_divide(sF0,sF1)),
inference(step,[status(thm)],[t1320,t888]) ).
cnf(t3516,plain,
double_divide(sF0,sF1) = inverse(double_divide(sF0,sF1)),
inference(step,[status(thm)],[t3515,t1158]) ).
cnf(t1353,plain,
inverse(double_divide(sF0,sF1)) = double_divide(sF0,sF1),
inference(orient,[status(thm)],[t3516]) ).
cnf(t3549,plain,
inverse(X1) = double_divide(double_divide(sF0,sF1),X1),
inference(step,[status(thm)],[t986,t1353]) ).
cnf(t2053,plain,
double_divide(double_divide(sF0,sF1),X1) = inverse(X1),
inference(orient,[status(thm)],[t3549]) ).
cnf(t3667,plain,
sF0 = double_divide(inverse(inverse(a)),b),
inference(step,[status(thm)],[t3666,t2053]) ).
cnf(t3668,plain,
sF0 = double_divide(a,b),
inference(step,[status(thm)],[t3667,t888]) ).
cnf(t3669,plain,
sF0 = sF2,
inference(step,[status(thm)],[t3668,t6]) ).
cnf(t3390,plain,
sF2 = sF0,
inference(orient,[status(thm)],[t3669]) ).
cnf(t3670,plain,
double_divide(a,b) = sF0,
inference(step,[status(thm)],[t6,t3390]) ).
cnf(t3391,plain,
double_divide(a,b) = sF0,
inference(orient,[status(thm)],[t3670]) ).
cnf(u0,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(d0,axiom,
multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(goal_0,negated_conjecture,
inverse(double_divide(b,a)) != inverse(double_divide(a,b)),
inference(definition_unfolding,[status(thm)],[u0,d0]) ).
cnf(g0_0,plain,
inverse(sF0) != inverse(double_divide(a,b)),
inference(rw,[status(thm)],[goal_0,t5]) ).
cnf(g0_1,plain,
inverse(sF0) != inverse(sF0),
inference(rw,[status(thm)],[g0_0,t3391]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP616-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n017.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
% 0.03/0.36 % WCLimit : 300
% 0.03/0.36 % DateTime : Wed Sep 23 15:08:45 UTC 2026
% 0.03/0.37 % CPUTime :
% 0.03/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.08/0.98 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.08/0.98 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
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