%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP126-2.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.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 01:25:18 PM UTC 2026
% Result : Unsatisfiable 22.81s 17.16s
% Output : Proof 22.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 18
% Syntax : Number of formulae : 198 ( 45 unt; 0 def)
% Number of atoms : 884 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 801 ( 115 ~; 686 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 123 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f26,axiom,
( product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
fof(f26_nnf,plain,
! [X,Y] :
( product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [X,Y] :
( product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(f13,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
fof(f13_nnf,plain,
group_element(e_4),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
group_element(e_4),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(p39,plain,
( product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[c26,c13]) ).
cnf(f12,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
fof(f12_nnf,plain,
group_element(e_3),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
group_element(e_3),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(p81,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[p39,c12]) ).
cnf(f28,axiom,
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f28_nnf,plain,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(f30,axiom,
product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
fof(f30_nnf,plain,
! [X] : product(X,X,X),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [X] : product(X,X,X),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
product(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p44,plain,
( equalish(X0,X1)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[c28,c30]) ).
cnf(p442,plain,
( equalish(e_4,e_3)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[p81,p44]) ).
cnf(f29,axiom,
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f29_nnf,plain,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(p46,plain,
( equalish(X1,X0)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[c29,c30]) ).
cnf(p1556,plain,
( equalish(e_3,e_4)
| equalish(e_4,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[p442,p46]) ).
cnf(p38,plain,
( product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[c26,c12]) ).
cnf(p68,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[p38,c13]) ).
cnf(p237,plain,
( equalish(e_4,e_3)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[p68,p46]) ).
cnf(p1002,plain,
( equalish(e_3,e_4)
| equalish(e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[p237,p44]) ).
cnf(f31,negated_conjecture,
( product(Z1,Z2,Y)
| ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg4) ).
fof(f31_nnf,plain,
! [X,Y,Z1,Z2] :
( product(Z1,Z2,Y)
| ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
! [X,Y,Z1,Z2] :
( product(Z1,Z2,Y)
| ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c31,plain,
( product(X2,X3,X1)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p4470,plain,
( product(e_2,X0,e_4)
| ~ product(e_4,e_3,X0)
| equalish(e_3,e_4)
| equalish(e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[p1002,c31]) ).
cnf(p9381,plain,
( product(e_2,e_2,e_4)
| equalish(e_3,e_4)
| equalish(e_4,e_3)
| product(e_3,e_4,e_1)
| equalish(e_3,e_4)
| equalish(e_4,e_3)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[p1556,p4470]) ).
cnf(p9521,plain,
( product(e_2,e_2,e_4)
| equalish(e_3,e_4)
| product(e_3,e_4,e_1)
| equalish(e_3,e_4)
| equalish(e_4,e_3)
| product(e_4,e_3,e_1) ),
inference(factoring,[status(thm)],[p9381]) ).
cnf(p9523,plain,
( product(e_2,e_2,e_4)
| product(e_3,e_4,e_1)
| equalish(e_3,e_4)
| equalish(e_4,e_3)
| product(e_4,e_3,e_1) ),
inference(factoring,[status(thm)],[p9521]) ).
cnf(p9537,plain,
( product(e_2,e_1,e_4)
| equalish(e_3,e_4)
| equalish(e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_2,e_2,e_4)
| product(e_3,e_4,e_1)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[p9523,p4470]) ).
cnf(p10157,plain,
( product(e_2,e_1,e_4)
| equalish(e_3,e_4)
| equalish(e_4,e_3)
| product(e_2,e_2,e_4)
| product(e_3,e_4,e_1)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(factoring,[status(thm)],[p9537]) ).
cnf(p10158,plain,
( product(e_2,e_1,e_4)
| equalish(e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_4,e_1)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(factoring,[status(thm)],[p10157]) ).
cnf(p10165,plain,
( product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_4,e_1)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(factoring,[status(thm)],[p10158]) ).
cnf(p10169,plain,
( equalish(e_3,X0)
| ~ product(X0,e_4,e_1)
| product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[p10165,c29]) ).
cnf(f11,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f11_nnf,plain,
group_element(e_2),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
group_element(e_2),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(p80,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[p39,c11]) ).
cnf(p421,plain,
( equalish(e_4,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[p80,p44]) ).
cnf(p37,plain,
( product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[c26,c11]) ).
cnf(p56,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[p37,c13]) ).
cnf(p155,plain,
( equalish(e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[p56,p46]) ).
cnf(p679,plain,
( product(e_3,X0,e_4)
| ~ product(e_4,e_2,X0)
| equalish(e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[p155,c31]) ).
cnf(p1391,plain,
( product(e_3,e_3,e_4)
| equalish(e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[p421,p679]) ).
cnf(p1403,plain,
( product(e_3,e_3,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(factoring,[status(thm)],[p1391]) ).
cnf(p1407,plain,
( equalish(e_4,X0)
| ~ product(X0,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[p1403,c29]) ).
cnf(p1497,plain,
( equalish(e_4,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[p1407,c30]) ).
cnf(p1502,plain,
( product(e_3,e_3,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2)
| product(e_4,e_2,e_1) ),
inference(factoring,[status(thm)],[p1497]) ).
cnf(p1503,plain,
( product(e_1,X0,e_2)
| ~ product(e_2,e_4,X0)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p1502,c31]) ).
cnf(p1528,plain,
( equalish(e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p1503,p155]) ).
cnf(p2654,plain,
( equalish(e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p1528]) ).
cnf(p2657,plain,
( equalish(e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p2654]) ).
cnf(p2661,plain,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p2657]) ).
cnf(p32,plain,
( product(X1,X1,X0)
| ~ product(X0,X0,X1) ),
inference(factoring,[status(thm)],[c31]) ).
cnf(p2663,plain,
( product(e_4,e_4,e_3)
| product(e_1,e_3,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p2661,p32]) ).
cnf(p2691,plain,
( equalish(e_4,X0)
| ~ product(X0,e_4,e_3)
| product(e_1,e_3,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p2663,c29]) ).
cnf(p2841,plain,
( ~ product(e_2,e_4,e_3)
| product(e_1,e_3,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p2691]) ).
cnf(p2848,plain,
( equalish(e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p2841,p155]) ).
cnf(p3349,plain,
( equalish(e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p2848]) ).
cnf(p3352,plain,
( equalish(e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p3349]) ).
cnf(p3355,plain,
( product(e_1,e_3,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p3352]) ).
cnf(p3358,plain,
( equalish(e_4,X0)
| ~ product(e_2,X0,e_2)
| product(e_1,e_3,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p3355,c28]) ).
cnf(p3386,plain,
( equalish(e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p3358,c30]) ).
cnf(p3387,plain,
( product(e_1,e_3,e_2)
| product(e_2,e_4,e_1)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p3386]) ).
cnf(p10229,plain,
( product(e_1,e_3,e_2)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[p10169,p3387]) ).
cnf(p10290,plain,
( product(e_4,e_4,e_2)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| product(e_2,e_1,e_4)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[p10229,p32]) ).
cnf(f27,axiom,
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
fof(f27_nnf,plain,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p42,plain,
( equalish(X0,X1)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[c27,c30]) ).
cnf(p10377,plain,
( equalish(e_4,e_2)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| product(e_2,e_1,e_4)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[p10290,p42]) ).
cnf(p10379,plain,
( product(e_1,e_3,e_2)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| product(e_2,e_1,e_4)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(factoring,[status(thm)],[p10377]) ).
cnf(f9,axiom,
( ~ greater(Y,X1)
| ~ next(X,X1)
| ~ product(X,e_1,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_redundancy) ).
fof(f9_nnf,plain,
! [X,Y,X1] :
( ~ greater(Y,X1)
| ~ next(X,X1)
| ~ product(X,e_1,Y) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,Y,X1] :
( ~ greater(Y,X1)
| ~ next(X,X1)
| ~ product(X,e_1,Y) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( ~ greater(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p10381,plain,
( ~ greater(e_4,X0)
| ~ next(e_2,X0)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[p10379,c9]) ).
cnf(f1,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_then_e_3) ).
fof(f1_nnf,plain,
next(e_2,e_3),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
next(e_2,e_3),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(p10389,plain,
( ~ greater(e_4,e_3)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[p10381,c1]) ).
cnf(f8,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_3) ).
fof(f8_nnf,plain,
greater(e_4,e_3),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(p10391,plain,
( product(e_1,e_3,e_2)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[p10389,c8]) ).
cnf(p10395,plain,
( equalish(e_1,X0)
| ~ product(X0,e_3,e_2)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[p10391,c29]) ).
cnf(p10402,plain,
( equalish(e_3,e_4)
| equalish(e_4,e_3)
| product(e_4,e_3,e_1)
| equalish(e_1,e_4)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[p10395,p1556]) ).
cnf(p10502,plain,
( equalish(e_3,e_4)
| product(e_4,e_3,e_1)
| equalish(e_1,e_4)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(factoring,[status(thm)],[p10402]) ).
cnf(p10504,plain,
( product(e_4,e_3,e_1)
| equalish(e_1,e_4)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(factoring,[status(thm)],[p10502]) ).
cnf(p10515,plain,
( equalish(e_4,X0)
| ~ product(X0,e_3,e_1)
| equalish(e_1,e_4)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[p10504,c29]) ).
cnf(p10558,plain,
( ~ product(e_2,e_3,e_1)
| equalish(e_1,e_4)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(factoring,[status(thm)],[p10515]) ).
cnf(p67,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[p38,c11]) ).
cnf(p55,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[p37,c12]) ).
cnf(p147,plain,
( product(e_4,X0,e_3)
| ~ product(e_3,e_2,X0)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[p55,c31]) ).
cnf(p210,plain,
( product(e_4,e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[p67,p147]) ).
cnf(p269,plain,
( equalish(e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[p210,p42]) ).
cnf(p275,plain,
( equalish(e_3,e_2)
| equalish(e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[p269,p44]) ).
cnf(p281,plain,
( equalish(e_3,X0)
| ~ product(X0,e_2,e_2)
| equalish(e_3,e_2)
| equalish(e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[p275,c29]) ).
cnf(p530,plain,
( equalish(e_3,e_2)
| equalish(e_3,e_2)
| equalish(e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[p281,c30]) ).
cnf(p532,plain,
( equalish(e_3,e_2)
| equalish(e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(factoring,[status(thm)],[p530]) ).
cnf(p535,plain,
( product(e_1,X0,e_2)
| ~ product(e_2,e_3,X0)
| equalish(e_3,e_2)
| equalish(e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[p532,c31]) ).
cnf(p542,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[p535,p55]) ).
cnf(p1856,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_1,e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(factoring,[status(thm)],[p542]) ).
cnf(p7408,plain,
( product(e_2,e_3,e_3)
| product(e_1,e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(factoring,[status(thm)],[p1856]) ).
cnf(p7410,plain,
( product(e_1,e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(factoring,[status(thm)],[p7408]) ).
cnf(p7415,plain,
( equalish(e_3,e_2)
| product(e_1,e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_4,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[p7410,p46]) ).
cnf(p7421,plain,
( product(e_1,e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_4,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(factoring,[status(thm)],[p7415]) ).
cnf(p7424,plain,
( equalish(e_3,X0)
| ~ product(e_2,X0,e_2)
| product(e_1,e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_4,e_3)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[p7421,c28]) ).
cnf(p7487,plain,
( equalish(e_3,e_2)
| product(e_1,e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_4,e_3)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[p7424,c30]) ).
cnf(p7489,plain,
( product(e_1,e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_4,e_3)
| product(e_2,e_3,e_1) ),
inference(factoring,[status(thm)],[p7487]) ).
cnf(p10562,plain,
( product(e_1,e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_4,e_3)
| equalish(e_1,e_4)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[p10558,p7489]) ).
cnf(p10613,plain,
( product(e_1,e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_1,e_4)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(factoring,[status(thm)],[p10562]) ).
cnf(p10615,plain,
( product(e_1,e_4,e_2)
| equalish(e_1,e_4)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(factoring,[status(thm)],[p10613]) ).
cnf(p3388,plain,
( product(e_1,X0,e_4)
| ~ product(e_4,e_2,X0)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p3387,c31]) ).
cnf(p3402,plain,
( equalish(e_4,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p3388,p421]) ).
cnf(p3435,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p3402]) ).
cnf(p3442,plain,
( equalish(e_4,X0)
| ~ product(X0,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p3435,c29]) ).
cnf(p3525,plain,
( equalish(e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p3442,c30]) ).
cnf(p3526,plain,
( product(e_4,e_2,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p3525]) ).
cnf(p265,plain,
( product(e_3,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[p210,p32]) ).
cnf(p343,plain,
( equalish(e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[p265,p42]) ).
cnf(p349,plain,
( equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[p343,p44]) ).
cnf(p355,plain,
( equalish(e_3,X0)
| ~ product(X0,e_2,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[p349,c29]) ).
cnf(p575,plain,
( equalish(e_3,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[p355,c30]) ).
cnf(p577,plain,
( equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(factoring,[status(thm)],[p575]) ).
cnf(p581,plain,
( equalish(e_3,X0)
| ~ product(X0,e_2,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[p577,c29]) ).
cnf(p583,plain,
( ~ product(e_4,e_2,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(factoring,[status(thm)],[p581]) ).
cnf(p3532,plain,
( equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p3526,p583]) ).
cnf(p4770,plain,
( equalish(e_3,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p3532,p46]) ).
cnf(p4780,plain,
( equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p4770]) ).
cnf(p4783,plain,
( equalish(e_3,X0)
| ~ product(e_2,X0,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p4780,c28]) ).
cnf(p4845,plain,
( equalish(e_3,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p4783,c30]) ).
cnf(p4846,plain,
( equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p4845]) ).
cnf(p4851,plain,
( equalish(e_3,X0)
| ~ product(e_2,X0,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p4846,c28]) ).
cnf(p4855,plain,
( ~ product(e_2,e_4,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p4851]) ).
cnf(p4857,plain,
( product(e_1,e_3,e_2)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p4855,p3387]) ).
cnf(p4869,plain,
( equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p4857]) ).
cnf(p4870,plain,
( equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p4869]) ).
cnf(p150,plain,
( equalish(e_2,X0)
| ~ product(X0,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[p55,c29]) ).
cnf(p4877,plain,
( equalish(e_2,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p4870,p150]) ).
cnf(p4935,plain,
( equalish(e_3,e_2)
| equalish(e_2,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p4877,p46]) ).
cnf(p4937,plain,
( equalish(e_2,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p4935]) ).
cnf(p4940,plain,
( equalish(e_3,X0)
| ~ product(e_2,X0,e_2)
| equalish(e_2,e_1)
| product(e_2,e_3,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p4937,c28]) ).
cnf(p5000,plain,
( equalish(e_3,e_2)
| equalish(e_2,e_1)
| product(e_2,e_3,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p4940,c30]) ).
cnf(p5001,plain,
( equalish(e_2,e_1)
| product(e_2,e_3,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p5000]) ).
cnf(p5004,plain,
( equalish(e_3,X0)
| ~ product(e_2,X0,e_1)
| equalish(e_2,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p5001,c28]) ).
cnf(p5015,plain,
( ~ product(e_2,e_4,e_1)
| equalish(e_2,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p5004]) ).
cnf(p5017,plain,
( product(e_1,e_3,e_2)
| equalish(e_4,e_2)
| equalish(e_2,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p5015,p3387]) ).
cnf(p5026,plain,
( equalish(e_4,e_2)
| equalish(e_2,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p5017]) ).
cnf(p5027,plain,
( equalish(e_2,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p5026]) ).
cnf(p5030,plain,
( equalish(e_3,X0)
| ~ product(e_1,X0,e_2)
| equalish(e_2,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[p5027,c28]) ).
cnf(p5040,plain,
( ~ product(e_1,e_4,e_2)
| equalish(e_2,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_2) ),
inference(factoring,[status(thm)],[p5030]) ).
cnf(p10626,plain,
( equalish(e_2,e_1)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_2)
| equalish(e_1,e_4)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[p10615,p5040]) ).
cnf(p11592,plain,
( equalish(e_2,e_1)
| equalish(e_3,e_2)
| equalish(e_4,e_2)
| equalish(e_1,e_4)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(factoring,[status(thm)],[p10626]) ).
cnf(p11595,plain,
( equalish(e_2,e_1)
| equalish(e_4,e_2)
| equalish(e_1,e_4)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(factoring,[status(thm)],[p11592]) ).
cnf(p11597,plain,
( equalish(e_2,e_1)
| equalish(e_1,e_4)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4)
| equalish(e_4,e_3) ),
inference(factoring,[status(thm)],[p11595]) ).
cnf(f25,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
fof(f25_nnf,plain,
~ equalish(e_4,e_3),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
~ equalish(e_4,e_3),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p11598,plain,
( equalish(e_2,e_1)
| equalish(e_1,e_4)
| equalish(e_4,e_2)
| equalish(e_3,e_2)
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[p11597,c25]) ).
cnf(f24,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
fof(f24_nnf,plain,
~ equalish(e_4,e_2),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
~ equalish(e_4,e_2),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p11612,plain,
( equalish(e_2,e_1)
| equalish(e_1,e_4)
| equalish(e_3,e_2)
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[p11598,c24]) ).
cnf(f22,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
fof(f22_nnf,plain,
~ equalish(e_3,e_4),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
~ equalish(e_3,e_4),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p11613,plain,
( equalish(e_2,e_1)
| equalish(e_1,e_4)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[p11612,c22]) ).
cnf(f21,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f21_nnf,plain,
~ equalish(e_3,e_2),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
~ equalish(e_3,e_2),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p11614,plain,
( equalish(e_2,e_1)
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[p11613,c21]) ).
cnf(f17,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f17_nnf,plain,
~ equalish(e_2,e_1),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
~ equalish(e_2,e_1),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p11615,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[p11614,c17]) ).
cnf(f16,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
fof(f16_nnf,plain,
~ equalish(e_1,e_4),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
~ equalish(e_1,e_4),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p11626,plain,
$false,
inference(resolution,[status(thm)],[p11615,c16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP126-2.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 13:42:04 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 22.81/17.16 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.81/17.16 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------