TSTP Solution File: SWV034+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV034+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 22:30:51 EDT 2023
% Result : Theorem 4.18s 1.24s
% Output : CNFRefutation 4.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f475)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> init = a_select2(s_center7_init,X19) )
& ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init )
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X10] :
( ( leq(X10,minus(n3,n1))
& leq(n0,X10) )
=> init = a_select2(s_try7_init,X10) )
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> init = a_select2(s_center7_init,X4) )
& ! [X28] :
( ( leq(X28,n3)
& leq(n0,X28) )
=> init = a_select2(s_values7_init,X28) )
& ! [X21] :
( ( leq(X21,n2)
& leq(n0,X21) )
=> ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init
& init = init ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0049) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X20] :
( ( leq(X20,minus(n3,n1))
& leq(n0,X20) )
=> init = a_select2(s_try7_init,X20) )
& ! [X19] :
( ( leq(X19,n2)
& leq(n0,X19) )
=> init = a_select2(s_center7_init,X19) )
& ! [X3] :
( ( leq(X3,n3)
& leq(n0,X3) )
=> init = a_select2(s_values7_init,X3) )
& ! [X13] :
( ( leq(X13,n2)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n3)
& leq(n0,X17) )
=> init = a_select3(simplex7_init,X17,X13) ) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init )
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X10] :
( ( leq(X10,minus(n3,n1))
& leq(n0,X10) )
=> init = a_select2(s_try7_init,X10) )
& ! [X4] :
( ( leq(X4,n2)
& leq(n0,X4) )
=> init = a_select2(s_center7_init,X4) )
& ! [X28] :
( ( leq(X28,n3)
& leq(n0,X28) )
=> init = a_select2(s_values7_init,X28) )
& ! [X21] :
( ( leq(X21,n2)
& leq(n0,X21) )
=> ! [X27] :
( ( leq(X27,n3)
& leq(n0,X27) )
=> init = a_select3(simplex7_init,X27,X21) ) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init
& init = init ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f114,plain,
~ ( ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X0] :
( ( leq(X0,minus(n3,n1))
& leq(n0,X0) )
=> init = a_select2(s_try7_init,X0) )
& ! [X1] :
( ( leq(X1,n2)
& leq(n0,X1) )
=> init = a_select2(s_center7_init,X1) )
& ! [X2] :
( ( leq(X2,n3)
& leq(n0,X2) )
=> init = a_select2(s_values7_init,X2) )
& ! [X3] :
( ( leq(X3,n2)
& leq(n0,X3) )
=> ! [X4] :
( ( leq(X4,n3)
& leq(n0,X4) )
=> init = a_select3(simplex7_init,X4,X3) ) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init )
=> ( ( gt(loopcounter,n1)
=> ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init ) )
& ! [X5] :
( ( leq(X5,minus(n3,n1))
& leq(n0,X5) )
=> init = a_select2(s_try7_init,X5) )
& ! [X6] :
( ( leq(X6,n2)
& leq(n0,X6) )
=> init = a_select2(s_center7_init,X6) )
& ! [X7] :
( ( leq(X7,n3)
& leq(n0,X7) )
=> init = a_select2(s_values7_init,X7) )
& ! [X8] :
( ( leq(X8,n2)
& leq(n0,X8) )
=> ! [X9] :
( ( leq(X9,n3)
& leq(n0,X9) )
=> init = a_select3(simplex7_init,X9,X8) ) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init
& init = init ) ),
inference(rectify,[],[f54]) ).
fof(f156,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X5] :
( init != a_select2(s_try7_init,X5)
& leq(X5,minus(n3,n1))
& leq(n0,X5) )
| ? [X6] :
( init != a_select2(s_center7_init,X6)
& leq(X6,n2)
& leq(n0,X6) )
| ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(X7,n3)
& leq(n0,X7) )
| ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(X8,n2)
& leq(n0,X8) )
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_try7_init,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
& ! [X3] :
( ! [X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
| ~ leq(X3,n2)
| ~ leq(n0,X3) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(ennf_transformation,[],[f114]) ).
fof(f157,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X5] :
( init != a_select2(s_try7_init,X5)
& leq(X5,minus(n3,n1))
& leq(n0,X5) )
| ? [X6] :
( init != a_select2(s_center7_init,X6)
& leq(X6,n2)
& leq(n0,X6) )
| ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(X7,n3)
& leq(n0,X7) )
| ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(X8,n2)
& leq(n0,X8) )
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_try7_init,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
& ! [X3] :
( ! [X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
| ~ leq(X3,n2)
| ~ leq(n0,X3) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(flattening,[],[f156]) ).
fof(f177,plain,
( ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(X8,n2)
& leq(n0,X8) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f178,plain,
( ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(X7,n3)
& leq(n0,X7) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f179,plain,
( ? [X6] :
( init != a_select2(s_center7_init,X6)
& leq(X6,n2)
& leq(n0,X6) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f180,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X5] :
( init != a_select2(s_try7_init,X5)
& leq(X5,minus(n3,n1))
& leq(n0,X5) )
| sP6
| sP5
| sP4
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X0] :
( init = a_select2(s_try7_init,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) )
& ! [X1] :
( init = a_select2(s_center7_init,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X2) )
& ! [X3] :
( ! [X4] :
( init = a_select3(simplex7_init,X4,X3)
| ~ leq(X4,n3)
| ~ leq(n0,X4) )
| ~ leq(X3,n2)
| ~ leq(n0,X3) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(definition_folding,[],[f157,f179,f178,f177]) ).
fof(f228,plain,
( ? [X6] :
( init != a_select2(s_center7_init,X6)
& leq(X6,n2)
& leq(n0,X6) )
| ~ sP6 ),
inference(nnf_transformation,[],[f179]) ).
fof(f229,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(X0,n2)
& leq(n0,X0) )
| ~ sP6 ),
inference(rectify,[],[f228]) ).
fof(f230,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(X0,n2)
& leq(n0,X0) )
=> ( init != a_select2(s_center7_init,sK34)
& leq(sK34,n2)
& leq(n0,sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f231,plain,
( ( init != a_select2(s_center7_init,sK34)
& leq(sK34,n2)
& leq(n0,sK34) )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f229,f230]) ).
fof(f232,plain,
( ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(X7,n3)
& leq(n0,X7) )
| ~ sP5 ),
inference(nnf_transformation,[],[f178]) ).
fof(f233,plain,
( ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(X0,n3)
& leq(n0,X0) )
| ~ sP5 ),
inference(rectify,[],[f232]) ).
fof(f234,plain,
( ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(X0,n3)
& leq(n0,X0) )
=> ( init != a_select2(s_values7_init,sK35)
& leq(sK35,n3)
& leq(n0,sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f235,plain,
( ( init != a_select2(s_values7_init,sK35)
& leq(sK35,n3)
& leq(n0,sK35) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f233,f234]) ).
fof(f236,plain,
( ? [X8] :
( ? [X9] :
( init != a_select3(simplex7_init,X9,X8)
& leq(X9,n3)
& leq(n0,X9) )
& leq(X8,n2)
& leq(n0,X8) )
| ~ sP4 ),
inference(nnf_transformation,[],[f177]) ).
fof(f237,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(simplex7_init,X1,X0)
& leq(X1,n3)
& leq(n0,X1) )
& leq(X0,n2)
& leq(n0,X0) )
| ~ sP4 ),
inference(rectify,[],[f236]) ).
fof(f238,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(simplex7_init,X1,X0)
& leq(X1,n3)
& leq(n0,X1) )
& leq(X0,n2)
& leq(n0,X0) )
=> ( ? [X1] :
( init != a_select3(simplex7_init,X1,sK36)
& leq(X1,n3)
& leq(n0,X1) )
& leq(sK36,n2)
& leq(n0,sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f239,plain,
( ? [X1] :
( init != a_select3(simplex7_init,X1,sK36)
& leq(X1,n3)
& leq(n0,X1) )
=> ( init != a_select3(simplex7_init,sK37,sK36)
& leq(sK37,n3)
& leq(n0,sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f240,plain,
( ( init != a_select3(simplex7_init,sK37,sK36)
& leq(sK37,n3)
& leq(n0,sK37)
& leq(sK36,n2)
& leq(n0,sK36) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37])],[f237,f239,f238]) ).
fof(f241,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(X0,minus(n3,n1))
& leq(n0,X0) )
| sP6
| sP5
| sP4
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X1] :
( init = a_select2(s_try7_init,X1)
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(s_center7_init,X2)
| ~ leq(X2,n2)
| ~ leq(n0,X2) )
& ! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( init = a_select3(simplex7_init,X5,X4)
| ~ leq(X5,n3)
| ~ leq(n0,X5) )
| ~ leq(X4,n2)
| ~ leq(n0,X4) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(rectify,[],[f180]) ).
fof(f242,plain,
( ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(X0,minus(n3,n1))
& leq(n0,X0) )
=> ( init != a_select2(s_try7_init,sK38)
& leq(sK38,minus(n3,n1))
& leq(n0,sK38) ) ),
introduced(choice_axiom,[]) ).
fof(f243,plain,
( ( ( ( init != pvar1402_init
| init != pvar1401_init
| init != pvar1400_init )
& gt(loopcounter,n1) )
| ( init != a_select2(s_try7_init,sK38)
& leq(sK38,minus(n3,n1))
& leq(n0,sK38) )
| sP6
| sP5
| sP4
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| init != s_worst7_init
| init != s_sworst7_init
| s_best7_init != init
| init != init )
& ( ( init = pvar1402_init
& init = pvar1401_init
& init = pvar1400_init )
| ~ gt(loopcounter,n1) )
& ! [X1] :
( init = a_select2(s_try7_init,X1)
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X1) )
& ! [X2] :
( init = a_select2(s_center7_init,X2)
| ~ leq(X2,n2)
| ~ leq(n0,X2) )
& ! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3)
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( init = a_select3(simplex7_init,X5,X4)
| ~ leq(X5,n3)
| ~ leq(n0,X5) )
| ~ leq(X4,n2)
| ~ leq(n0,X4) )
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& init = s_worst7_init
& init = s_sworst7_init
& s_best7_init = init ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f241,f242]) ).
fof(f354,plain,
( leq(n0,sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f231]) ).
fof(f355,plain,
( leq(sK34,n2)
| ~ sP6 ),
inference(cnf_transformation,[],[f231]) ).
fof(f356,plain,
( init != a_select2(s_center7_init,sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f231]) ).
fof(f357,plain,
( leq(n0,sK35)
| ~ sP5 ),
inference(cnf_transformation,[],[f235]) ).
fof(f358,plain,
( leq(sK35,n3)
| ~ sP5 ),
inference(cnf_transformation,[],[f235]) ).
fof(f359,plain,
( init != a_select2(s_values7_init,sK35)
| ~ sP5 ),
inference(cnf_transformation,[],[f235]) ).
fof(f360,plain,
( leq(n0,sK36)
| ~ sP4 ),
inference(cnf_transformation,[],[f240]) ).
fof(f361,plain,
( leq(sK36,n2)
| ~ sP4 ),
inference(cnf_transformation,[],[f240]) ).
fof(f362,plain,
( leq(n0,sK37)
| ~ sP4 ),
inference(cnf_transformation,[],[f240]) ).
fof(f363,plain,
( leq(sK37,n3)
| ~ sP4 ),
inference(cnf_transformation,[],[f240]) ).
fof(f364,plain,
( init != a_select3(simplex7_init,sK37,sK36)
| ~ sP4 ),
inference(cnf_transformation,[],[f240]) ).
fof(f366,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f243]) ).
fof(f367,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f243]) ).
fof(f368,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f243]) ).
fof(f369,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f243]) ).
fof(f370,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f243]) ).
fof(f371,plain,
leq(n0,pv19),
inference(cnf_transformation,[],[f243]) ).
fof(f372,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f243]) ).
fof(f373,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f243]) ).
fof(f374,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f243]) ).
fof(f375,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f243]) ).
fof(f376,plain,
! [X4,X5] :
( init = a_select3(simplex7_init,X5,X4)
| ~ leq(X5,n3)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f243]) ).
fof(f377,plain,
! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3)
| ~ leq(n0,X3) ),
inference(cnf_transformation,[],[f243]) ).
fof(f378,plain,
! [X2] :
( init = a_select2(s_center7_init,X2)
| ~ leq(X2,n2)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f379,plain,
! [X1] :
( init = a_select2(s_try7_init,X1)
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f243]) ).
fof(f380,plain,
( init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f243]) ).
fof(f381,plain,
( init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f243]) ).
fof(f382,plain,
( init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f243]) ).
fof(f450,plain,
( s_worst7_init != a_select2(s_center7_init,sK34)
| ~ sP6 ),
inference(definition_unfolding,[],[f356,f367]) ).
fof(f451,plain,
( s_worst7_init != a_select2(s_values7_init,sK35)
| ~ sP5 ),
inference(definition_unfolding,[],[f359,f367]) ).
fof(f452,plain,
( s_worst7_init != a_select3(simplex7_init,sK37,sK36)
| ~ sP4 ),
inference(definition_unfolding,[],[f364,f367]) ).
fof(f459,plain,
( s_worst7_init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f382,f367]) ).
fof(f460,plain,
( s_worst7_init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f381,f367]) ).
fof(f461,plain,
( s_worst7_init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f380,f367]) ).
fof(f462,plain,
! [X1] :
( s_worst7_init = a_select2(s_try7_init,X1)
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X1) ),
inference(definition_unfolding,[],[f379,f367]) ).
fof(f463,plain,
! [X2] :
( s_worst7_init = a_select2(s_center7_init,X2)
| ~ leq(X2,n2)
| ~ leq(n0,X2) ),
inference(definition_unfolding,[],[f378,f367]) ).
fof(f464,plain,
! [X3] :
( s_worst7_init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3)
| ~ leq(n0,X3) ),
inference(definition_unfolding,[],[f377,f367]) ).
fof(f465,plain,
! [X4,X5] :
( s_worst7_init = a_select3(simplex7_init,X5,X4)
| ~ leq(X5,n3)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(n0,X4) ),
inference(definition_unfolding,[],[f376,f367]) ).
fof(f466,plain,
s_sworst7_init = s_worst7_init,
inference(definition_unfolding,[],[f366,f367]) ).
cnf(c_157,negated_conjecture,
( a_select2(s_center7_init,sK34) != s_worst7_init
| ~ sP6 ),
inference(cnf_transformation,[],[f450]) ).
cnf(c_158,plain,
( ~ sP6
| leq(sK34,n2) ),
inference(cnf_transformation,[],[f355]) ).
cnf(c_159,plain,
( ~ sP6
| leq(n0,sK34) ),
inference(cnf_transformation,[],[f354]) ).
cnf(c_160,negated_conjecture,
( a_select2(s_values7_init,sK35) != s_worst7_init
| ~ sP5 ),
inference(cnf_transformation,[],[f451]) ).
cnf(c_161,plain,
( ~ sP5
| leq(sK35,n3) ),
inference(cnf_transformation,[],[f358]) ).
cnf(c_162,plain,
( ~ sP5
| leq(n0,sK35) ),
inference(cnf_transformation,[],[f357]) ).
cnf(c_163,negated_conjecture,
( a_select3(simplex7_init,sK37,sK36) != s_worst7_init
| ~ sP4 ),
inference(cnf_transformation,[],[f452]) ).
cnf(c_164,plain,
( ~ sP4
| leq(sK37,n3) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_165,plain,
( ~ sP4
| leq(n0,sK37) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_166,plain,
( ~ sP4
| leq(sK36,n2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_167,plain,
( ~ sP4
| leq(n0,sK36) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_168,negated_conjecture,
( a_select2(s_try7_init,sK38) != s_worst7_init
| s_worst7_init != s_worst7_init
| s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| s_worst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f475]) ).
cnf(c_169,negated_conjecture,
( s_worst7_init != s_worst7_init
| s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| s_worst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| leq(sK38,minus(n3,n1))
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f476]) ).
cnf(c_170,negated_conjecture,
( s_worst7_init != s_worst7_init
| s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| s_worst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| leq(n0,sK38)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f477]) ).
cnf(c_171,negated_conjecture,
( a_select2(s_try7_init,sK38) != s_worst7_init
| s_worst7_init != s_worst7_init
| s_worst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| gt(loopcounter,n1)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f478]) ).
cnf(c_172,negated_conjecture,
( s_worst7_init != s_worst7_init
| s_worst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| leq(sK38,minus(n3,n1))
| gt(loopcounter,n1)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f479]) ).
cnf(c_173,negated_conjecture,
( s_worst7_init != s_worst7_init
| s_worst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| gt(loopcounter,n1)
| leq(n0,sK38)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f480]) ).
cnf(c_174,negated_conjecture,
( ~ gt(loopcounter,n1)
| s_worst7_init = pvar1402_init ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_175,negated_conjecture,
( ~ gt(loopcounter,n1)
| s_worst7_init = pvar1401_init ),
inference(cnf_transformation,[],[f460]) ).
cnf(c_176,negated_conjecture,
( ~ gt(loopcounter,n1)
| s_worst7_init = pvar1400_init ),
inference(cnf_transformation,[],[f461]) ).
cnf(c_177,negated_conjecture,
( ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0)
| a_select2(s_try7_init,X0) = s_worst7_init ),
inference(cnf_transformation,[],[f462]) ).
cnf(c_178,negated_conjecture,
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| a_select2(s_center7_init,X0) = s_worst7_init ),
inference(cnf_transformation,[],[f463]) ).
cnf(c_179,negated_conjecture,
( ~ leq(X0,n3)
| ~ leq(n0,X0)
| a_select2(s_values7_init,X0) = s_worst7_init ),
inference(cnf_transformation,[],[f464]) ).
cnf(c_180,negated_conjecture,
( ~ leq(X0,n2)
| ~ leq(X1,n3)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(simplex7_init,X1,X0) = s_worst7_init ),
inference(cnf_transformation,[],[f465]) ).
cnf(c_181,negated_conjecture,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f375]) ).
cnf(c_182,negated_conjecture,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f374]) ).
cnf(c_183,negated_conjecture,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f373]) ).
cnf(c_184,negated_conjecture,
leq(s_best7,n3),
inference(cnf_transformation,[],[f372]) ).
cnf(c_185,negated_conjecture,
leq(n0,pv19),
inference(cnf_transformation,[],[f371]) ).
cnf(c_186,negated_conjecture,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f370]) ).
cnf(c_187,negated_conjecture,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f369]) ).
cnf(c_188,negated_conjecture,
leq(n0,s_best7),
inference(cnf_transformation,[],[f368]) ).
cnf(c_189,negated_conjecture,
s_worst7_init = s_sworst7_init,
inference(cnf_transformation,[],[f466]) ).
cnf(c_323,plain,
( s_worst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| gt(loopcounter,n1)
| leq(n0,sK38)
| sP6
| sP5
| sP4 ),
inference(equality_resolution_simp,[status(thm)],[c_173]) ).
cnf(c_324,plain,
( gt(loopcounter,n1)
| leq(n0,sK38)
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_323,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_189,c_181,c_323]) ).
cnf(c_326,plain,
( s_worst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| leq(sK38,minus(n3,n1))
| gt(loopcounter,n1)
| sP6
| sP5
| sP4 ),
inference(equality_resolution_simp,[status(thm)],[c_172]) ).
cnf(c_327,plain,
( leq(sK38,minus(n3,n1))
| gt(loopcounter,n1)
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_326,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_189,c_181,c_326]) ).
cnf(c_329,plain,
( a_select2(s_try7_init,sK38) != s_worst7_init
| s_worst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| gt(loopcounter,n1)
| sP6
| sP5
| sP4 ),
inference(equality_resolution_simp,[status(thm)],[c_171]) ).
cnf(c_332,plain,
( s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| s_worst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| leq(n0,sK38)
| sP6
| sP5
| sP4 ),
inference(equality_resolution_simp,[status(thm)],[c_170]) ).
cnf(c_333,plain,
( leq(n0,sK38)
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_332,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_189,c_181,c_176,c_175,c_174,c_324,c_332]) ).
cnf(c_335,plain,
( s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| s_worst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| leq(sK38,minus(n3,n1))
| sP6
| sP5
| sP4 ),
inference(equality_resolution_simp,[status(thm)],[c_169]) ).
cnf(c_336,plain,
( leq(sK38,minus(n3,n1))
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_335,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_189,c_181,c_176,c_175,c_174,c_327,c_335]) ).
cnf(c_338,plain,
( a_select2(s_try7_init,sK38) != s_worst7_init
| s_worst7_init != pvar1402_init
| s_worst7_init != pvar1401_init
| s_worst7_init != pvar1400_init
| s_worst7_init != s_sworst7_init
| ~ leq(pv19,minus(n410,n1))
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| sP6
| sP5
| sP4 ),
inference(equality_resolution_simp,[status(thm)],[c_168]) ).
cnf(c_339,plain,
( a_select2(s_try7_init,sK38) != s_worst7_init
| sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_338,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_189,c_181,c_176,c_175,c_174,c_329,c_338]) ).
cnf(c_16480,plain,
( ~ leq(n0,sK38)
| a_select2(s_try7_init,sK38) = s_worst7_init
| sP6
| sP5
| sP4 ),
inference(superposition,[status(thm)],[c_336,c_177]) ).
cnf(c_16486,plain,
( sP6
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_339,c_333,c_339,c_16480]) ).
cnf(c_16583,plain,
( ~ leq(sK34,n3)
| ~ sP6
| a_select2(s_values7_init,sK34) = s_worst7_init ),
inference(superposition,[status(thm)],[c_159,c_179]) ).
cnf(c_16584,plain,
( ~ leq(sK34,n2)
| ~ sP6
| a_select2(s_center7_init,sK34) = s_worst7_init ),
inference(superposition,[status(thm)],[c_159,c_178]) ).
cnf(c_16611,plain,
( ~ leq(sK35,n3)
| ~ sP5
| a_select2(s_values7_init,sK35) = s_worst7_init ),
inference(superposition,[status(thm)],[c_162,c_179]) ).
cnf(c_16685,plain,
~ sP6,
inference(global_subsumption_just,[status(thm)],[c_16583,c_158,c_157,c_16584]) ).
cnf(c_16692,plain,
~ sP5,
inference(global_subsumption_just,[status(thm)],[c_16611,c_161,c_160,c_16611]) ).
cnf(c_17203,plain,
( ~ leq(n0,sK37)
| ~ leq(n0,sK36)
| ~ leq(sK37,n3)
| ~ leq(sK36,n2)
| a_select3(simplex7_init,sK37,sK36) = s_worst7_init ),
inference(instantiation,[status(thm)],[c_180]) ).
cnf(c_17204,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_17203,c_16692,c_16685,c_16486,c_163,c_164,c_165,c_166,c_167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.15 % Problem : SWV034+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.16 % Command : run_iprover %s %d THM
% 0.16/0.37 % Computer : n027.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 10:51:08 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.22/0.53 Running first-order theorem proving
% 0.22/0.53 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.18/1.24 % SZS status Started for theBenchmark.p
% 4.18/1.24 % SZS status Theorem for theBenchmark.p
% 4.18/1.24
% 4.18/1.24 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.18/1.24
% 4.18/1.24 ------ iProver source info
% 4.18/1.24
% 4.18/1.24 git: date: 2023-05-31 18:12:56 +0000
% 4.18/1.24 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.18/1.24 git: non_committed_changes: false
% 4.18/1.24 git: last_make_outside_of_git: false
% 4.18/1.24
% 4.18/1.24 ------ Parsing...
% 4.18/1.24 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.18/1.24
% 4.18/1.24 ------ Preprocessing... sup_sim: 16 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 4.18/1.24
% 4.18/1.24 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.18/1.24
% 4.18/1.24 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.18/1.24 ------ Proving...
% 4.18/1.24 ------ Problem Properties
% 4.18/1.24
% 4.18/1.24
% 4.18/1.24 clauses 177
% 4.18/1.24 conjectures 19
% 4.18/1.24 EPR 63
% 4.18/1.24 Horn 124
% 4.18/1.24 unary 62
% 4.18/1.24 binary 48
% 4.18/1.24 lits 549
% 4.18/1.24 lits eq 125
% 4.18/1.24 fd_pure 0
% 4.18/1.24 fd_pseudo 0
% 4.18/1.24 fd_cond 6
% 4.18/1.24 fd_pseudo_cond 4
% 4.18/1.24 AC symbols 0
% 4.18/1.24
% 4.18/1.24 ------ Schedule dynamic 5 is on
% 4.18/1.24
% 4.18/1.24 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.18/1.24
% 4.18/1.24
% 4.18/1.24 ------
% 4.18/1.24 Current options:
% 4.18/1.24 ------
% 4.18/1.24
% 4.18/1.24
% 4.18/1.24
% 4.18/1.24
% 4.18/1.24 ------ Proving...
% 4.18/1.24
% 4.18/1.24
% 4.18/1.24 % SZS status Theorem for theBenchmark.p
% 4.18/1.24
% 4.18/1.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.18/1.24
% 4.18/1.24
%------------------------------------------------------------------------------