%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL131-1 : TPTP v9.3.1. Released v1.0.0.
% 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 02:01:02 PM UTC 2026
% Result : Unsatisfiable 11.17s 2.02s
% Output : Proof 11.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 4
% Syntax : Number of formulae : 96 ( 92 unt; 0 def)
% Number of atoms : 104 ( 83 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 14 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 291 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f0,axiom,
( is_a_theorem(Y)
| ~ is_a_theorem(X)
| ~ is_a_theorem(equivalent(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f0_nnf,plain,
! [X,Y] :
( is_a_theorem(Y)
| ~ is_a_theorem(X)
| ~ is_a_theorem(equivalent(X,Y)) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( is_a_theorem(Y)
| ~ is_a_theorem(X)
| ~ is_a_theorem(equivalent(X,Y)) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t1,plain,
ifeq(is_a_theorem(equivalent(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t5,plain,
ifeq(is_a_theorem(equivalent(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(f1,axiom,
is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_6) ).
fof(f1_nnf,plain,
! [X,Y,Z,U] : is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),X)),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y,Z,U] : is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),X)),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),X0)),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t2,plain,
is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),equivalent(X2,X4))),X1)) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t4,plain,
is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),equivalent(X2,X4))),X1)) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t7,plain,
true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),equivalent(X2,X4))),X1),Y4)),true,ifeq(true,true,is_a_theorem(Y4),true),true),
inference(cp,[status(thm)],[t5,t4]) ).
cnf(t0,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t3,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t0]) ).
cnf(t11982,plain,
true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),equivalent(X2,X4))),X1),Y4)),true,is_a_theorem(Y4),true),
inference(step,[status(thm)],[t7,t3]) ).
cnf(t12,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),equivalent(X2,X4))),X1),Y4)),true,is_a_theorem(Y4),true) = true,
inference(orient,[status(thm)],[t11982]) ).
cnf(t6,plain,
true = ifeq(true,true,ifeq(is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),equivalent(X2,X4)))),true,is_a_theorem(X1),true),true),
inference(cp,[status(thm)],[t5,t4]) ).
cnf(t11981,plain,
true = ifeq(is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),equivalent(X2,X4)))),true,is_a_theorem(X1),true),
inference(step,[status(thm)],[t6,t3]) ).
cnf(t9,plain,
ifeq(is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),equivalent(X2,X4)))),true,is_a_theorem(X1),true) = true,
inference(orient,[status(thm)],[t11981]) ).
cnf(t10,plain,
true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3)),equivalent(equivalent(equivalent(X4,Y4),equivalent(Y5,Y4)),equivalent(X4,Y5)))),true),
inference(cp,[status(thm)],[t9,t4]) ).
cnf(t11983,plain,
true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3)),equivalent(equivalent(equivalent(X4,Y4),equivalent(Y5,Y4)),equivalent(X4,Y5)))),
inference(step,[status(thm)],[t10,t3]) ).
cnf(t16,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3)),equivalent(equivalent(equivalent(X4,Y4),equivalent(Y5,Y4)),equivalent(X4,Y5)))) = true,
inference(orient,[status(thm)],[t11983]) ).
cnf(t20,plain,
true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),true),
inference(cp,[status(thm)],[t9,t16]) ).
cnf(t11984,plain,
true = is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),
inference(step,[status(thm)],[t20,t3]) ).
cnf(t23,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))) = true,
inference(orient,[status(thm)],[t11984]) ).
cnf(t24,plain,
true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2))),true,is_a_theorem(equivalent(X1,X3)),true),true),
inference(cp,[status(thm)],[t5,t23]) ).
cnf(t11985,plain,
true = ifeq(is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2))),true,is_a_theorem(equivalent(X1,X3)),true),
inference(step,[status(thm)],[t24,t3]) ).
cnf(t29,plain,
ifeq(is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2))),true,is_a_theorem(equivalent(X1,X3)),true) = true,
inference(orient,[status(thm)],[t11985]) ).
cnf(t30,plain,
true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(equivalent(X1,X4),equivalent(X3,X4)))),true),
inference(cp,[status(thm)],[t29,t16]) ).
cnf(t11987,plain,
true = is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(equivalent(X1,X4),equivalent(X3,X4)))),
inference(step,[status(thm)],[t30,t3]) ).
cnf(t43,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(equivalent(X1,X4),equivalent(X3,X4)))) = true,
inference(orient,[status(thm)],[t11987]) ).
cnf(t47,plain,
true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2))),true),
inference(cp,[status(thm)],[t29,t43]) ).
cnf(t11988,plain,
true = is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2))),
inference(step,[status(thm)],[t47,t3]) ).
cnf(t52,plain,
is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2))) = true,
inference(orient,[status(thm)],[t11988]) ).
cnf(t56,plain,
true = ifeq(true,true,is_a_theorem(equivalent(X1,X1)),true),
inference(cp,[status(thm)],[t29,t52]) ).
cnf(t11989,plain,
true = is_a_theorem(equivalent(X1,X1)),
inference(step,[status(thm)],[t56,t3]) ).
cnf(t59,plain,
is_a_theorem(equivalent(X1,X1)) = true,
inference(orient,[status(thm)],[t11989]) ).
cnf(t61,plain,
true = ifeq(is_a_theorem(equivalent(equivalent(X1,X1),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true),
inference(cp,[status(thm)],[t5,t59]) ).
cnf(t11991,plain,
true = ifeq(is_a_theorem(equivalent(equivalent(X1,X1),X2)),true,is_a_theorem(X2),true),
inference(step,[status(thm)],[t61,t3]) ).
cnf(t66,plain,
ifeq(is_a_theorem(equivalent(equivalent(X1,X1),X2)),true,is_a_theorem(X2),true) = true,
inference(orient,[status(thm)],[t11991]) ).
cnf(t27,plain,
true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X4),equivalent(equivalent(X1,X3),X4))),true),
inference(cp,[status(thm)],[t9,t23]) ).
cnf(t11986,plain,
true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X4),equivalent(equivalent(X1,X3),X4))),
inference(step,[status(thm)],[t27,t3]) ).
cnf(t34,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X4),equivalent(equivalent(X1,X3),X4))) = true,
inference(orient,[status(thm)],[t11986]) ).
cnf(t67,plain,
true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),true),
inference(cp,[status(thm)],[t66,t34]) ).
cnf(t11992,plain,
true = is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),
inference(step,[status(thm)],[t67,t3]) ).
cnf(t75,plain,
is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))) = true,
inference(orient,[status(thm)],[t11992]) ).
cnf(t76,plain,
true = ifeq(true,true,ifeq(is_a_theorem(equivalent(X1,X2)),true,is_a_theorem(equivalent(equivalent(X1,X3),equivalent(X2,X3))),true),true),
inference(cp,[status(thm)],[t5,t75]) ).
cnf(t11993,plain,
true = ifeq(is_a_theorem(equivalent(X1,X2)),true,is_a_theorem(equivalent(equivalent(X1,X3),equivalent(X2,X3))),true),
inference(step,[status(thm)],[t76,t3]) ).
cnf(t96,plain,
ifeq(is_a_theorem(equivalent(X1,X2)),true,is_a_theorem(equivalent(equivalent(X1,X3),equivalent(X2,X3))),true) = true,
inference(orient,[status(thm)],[t11993]) ).
cnf(t35,plain,
true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X4)),true,is_a_theorem(equivalent(equivalent(X1,X3),X4)),true),true),
inference(cp,[status(thm)],[t5,t34]) ).
cnf(t11998,plain,
true = ifeq(is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X4)),true,is_a_theorem(equivalent(equivalent(X1,X3),X4)),true),
inference(step,[status(thm)],[t35,t3]) ).
cnf(t150,plain,
ifeq(is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X4)),true,is_a_theorem(equivalent(equivalent(X1,X3),X4)),true) = true,
inference(orient,[status(thm)],[t11998]) ).
cnf(t41,plain,
true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X4,X3))),equivalent(X1,equivalent(X2,X4)))),true),
inference(cp,[status(thm)],[t12,t34]) ).
cnf(t11995,plain,
true = is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X4,X3))),equivalent(X1,equivalent(X2,X4)))),
inference(step,[status(thm)],[t41,t3]) ).
cnf(t113,plain,
is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X4,X3))),equivalent(X1,equivalent(X2,X4)))) = true,
inference(orient,[status(thm)],[t11995]) ).
cnf(t153,plain,
true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X1,equivalent(X4,X3)),equivalent(X2,X4)))),true),
inference(cp,[status(thm)],[t150,t113]) ).
cnf(t12001,plain,
true = is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X1,equivalent(X4,X3)),equivalent(X2,X4)))),
inference(step,[status(thm)],[t153,t3]) ).
cnf(t191,plain,
is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X1,equivalent(X4,X3)),equivalent(X2,X4)))) = true,
inference(orient,[status(thm)],[t12001]) ).
cnf(t199,plain,
true = ifeq(true,true,is_a_theorem(equivalent(X1,equivalent(X1,equivalent(X2,X2)))),true),
inference(cp,[status(thm)],[t29,t191]) ).
cnf(t12002,plain,
true = is_a_theorem(equivalent(X1,equivalent(X1,equivalent(X2,X2)))),
inference(step,[status(thm)],[t199,t3]) ).
cnf(t207,plain,
is_a_theorem(equivalent(X1,equivalent(X1,equivalent(X2,X2)))) = true,
inference(orient,[status(thm)],[t12002]) ).
cnf(t211,plain,
true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,equivalent(X3,X3)),X2))),true),
inference(cp,[status(thm)],[t96,t207]) ).
cnf(t12005,plain,
true = is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,equivalent(X3,X3)),X2))),
inference(step,[status(thm)],[t211,t3]) ).
cnf(t248,plain,
is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,equivalent(X3,X3)),X2))) = true,
inference(orient,[status(thm)],[t12005]) ).
cnf(t255,plain,
true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),X1)),true),
inference(cp,[status(thm)],[t66,t248]) ).
cnf(t12006,plain,
true = is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),X1)),
inference(step,[status(thm)],[t255,t3]) ).
cnf(t265,plain,
is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),X1)) = true,
inference(orient,[status(thm)],[t12006]) ).
cnf(t270,plain,
true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X2)),X3),equivalent(X1,X3))),true),
inference(cp,[status(thm)],[t96,t265]) ).
cnf(t12012,plain,
true = is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X2)),X3),equivalent(X1,X3))),
inference(step,[status(thm)],[t270,t3]) ).
cnf(t352,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X2)),X3),equivalent(X1,X3))) = true,
inference(orient,[status(thm)],[t12012]) ).
cnf(t353,plain,
true = ifeq(true,true,ifeq(is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),X3)),true,is_a_theorem(equivalent(X1,X3)),true),true),
inference(cp,[status(thm)],[t5,t352]) ).
cnf(t12031,plain,
true = ifeq(is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),X3)),true,is_a_theorem(equivalent(X1,X3)),true),
inference(step,[status(thm)],[t353,t3]) ).
cnf(t816,plain,
ifeq(is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),X3)),true,is_a_theorem(equivalent(X1,X3)),true) = true,
inference(orient,[status(thm)],[t12031]) ).
cnf(t817,plain,
true = ifeq(true,true,is_a_theorem(equivalent(X1,equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)))),true),
inference(cp,[status(thm)],[t816,t191]) ).
cnf(t12032,plain,
true = is_a_theorem(equivalent(X1,equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)))),
inference(step,[status(thm)],[t817,t3]) ).
cnf(t859,plain,
is_a_theorem(equivalent(X1,equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)))) = true,
inference(orient,[status(thm)],[t12032]) ).
cnf(t867,plain,
true = ifeq(true,true,is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(X1,equivalent(X3,X4)),equivalent(X4,X3)),X2))),true),
inference(cp,[status(thm)],[t96,t859]) ).
cnf(t12132,plain,
true = is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(X1,equivalent(X3,X4)),equivalent(X4,X3)),X2))),
inference(step,[status(thm)],[t867,t3]) ).
cnf(t4781,plain,
is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(X1,equivalent(X3,X4)),equivalent(X4,X3)),X2))) = true,
inference(orient,[status(thm)],[t12132]) ).
cnf(t4793,plain,
true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)),X1)),true),
inference(cp,[status(thm)],[t66,t4781]) ).
cnf(t12133,plain,
true = is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)),X1)),
inference(step,[status(thm)],[t4793,t3]) ).
cnf(t4829,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)),X1)) = true,
inference(orient,[status(thm)],[t12133]) ).
cnf(t4837,plain,
true = ifeq(true,true,is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)),X4),equivalent(X1,X4))),true),
inference(cp,[status(thm)],[t96,t4829]) ).
cnf(t12242,plain,
true = is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)),X4),equivalent(X1,X4))),
inference(step,[status(thm)],[t4837,t3]) ).
cnf(t9568,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X2)),X4),equivalent(X1,X4))) = true,
inference(orient,[status(thm)],[t12242]) ).
cnf(t9607,plain,
true = ifeq(true,true,is_a_theorem(equivalent(X1,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4)))))),true),
inference(cp,[status(thm)],[t12,t9568]) ).
cnf(t12286,plain,
true = is_a_theorem(equivalent(X1,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4)))))),
inference(step,[status(thm)],[t9607,t3]) ).
cnf(t11931,plain,
is_a_theorem(equivalent(X1,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4)))))) = true,
inference(orient,[status(thm)],[t12286]) ).
cnf(f2,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_2) ).
fof(f2_nnf,plain,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(goal_0,negated_conjecture,
is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) != true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t11931]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL131-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.37 % Computer : n020.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Wed Sep 23 22:03:47 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 11.17/2.02 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.17/2.02 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------