TSTP Solution File: SWV122+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV122+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 : Fri May 3 03:13:34 EDT 2024
% Result : Theorem 3.83s 1.16s
% Output : CNFRefutation 3.83s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ! [X20,X21] :
( ( leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ! [X3,X19] :
( ( leq(X19,minus(n3,n1))
& leq(X3,minus(n3,n1))
& leq(n0,X19)
& leq(n0,X3) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X13,X17] :
( ( leq(X17,minus(n6,n1))
& leq(X13,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) ) )
=> ( ! [X15,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X15,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X15) )
=> a_select3(pminus_ds1_filter,X15,X5) = a_select3(pminus_ds1_filter,X5,X15) )
& ! [X4,X10] :
( ( leq(X10,minus(n3,n1))
& leq(X4,minus(n3,n1))
& leq(n0,X10)
& leq(n0,X4) )
=> a_select3(r_ds1_filter,X4,X10) = a_select3(r_ds1_filter,X10,X4) )
& ! [X27,X28] :
( ( leq(X28,minus(n6,n1))
& leq(X27,minus(n6,n1))
& leq(n0,X28)
& leq(n0,X27) )
=> a_select3(q_ds1_filter,X27,X28) = a_select3(q_ds1_filter,X28,X27) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0015) ).
fof(f54,negated_conjecture,
~ ( ( ! [X20,X21] :
( ( leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ! [X3,X19] :
( ( leq(X19,minus(n3,n1))
& leq(X3,minus(n3,n1))
& leq(n0,X19)
& leq(n0,X3) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X13,X17] :
( ( leq(X17,minus(n6,n1))
& leq(X13,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) ) )
=> ( ! [X15,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X15,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X15) )
=> a_select3(pminus_ds1_filter,X15,X5) = a_select3(pminus_ds1_filter,X5,X15) )
& ! [X4,X10] :
( ( leq(X10,minus(n3,n1))
& leq(X4,minus(n3,n1))
& leq(n0,X10)
& leq(n0,X4) )
=> a_select3(r_ds1_filter,X4,X10) = a_select3(r_ds1_filter,X10,X4) )
& ! [X27,X28] :
( ( leq(X28,minus(n6,n1))
& leq(X27,minus(n6,n1))
& leq(n0,X28)
& leq(n0,X27) )
=> a_select3(q_ds1_filter,X27,X28) = a_select3(q_ds1_filter,X28,X27) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f116,plain,
~ ( ( ! [X0,X1] :
( ( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0) )
& ! [X2,X3] :
( ( leq(X3,minus(n3,n1))
& leq(X2,minus(n3,n1))
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X4,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4) ) )
=> ( ! [X6,X7] :
( ( leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) )
& ! [X8,X9] :
( ( leq(X9,minus(n3,n1))
& leq(X8,minus(n3,n1))
& leq(n0,X9)
& leq(n0,X8) )
=> a_select3(r_ds1_filter,X8,X9) = a_select3(r_ds1_filter,X9,X8) )
& ! [X10,X11] :
( ( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
=> a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10) ) ) ),
inference(rectify,[],[f54]) ).
fof(f158,plain,
( ( ? [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) != a_select3(pminus_ds1_filter,X7,X6)
& leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6) )
| ? [X8,X9] :
( a_select3(r_ds1_filter,X8,X9) != a_select3(r_ds1_filter,X9,X8)
& leq(X9,minus(n3,n1))
& leq(X8,minus(n3,n1))
& leq(n0,X9)
& leq(n0,X8) )
| ? [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) ) )
& ! [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) ) ),
inference(ennf_transformation,[],[f116]) ).
fof(f159,plain,
( ( ? [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) != a_select3(pminus_ds1_filter,X7,X6)
& leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6) )
| ? [X8,X9] :
( a_select3(r_ds1_filter,X8,X9) != a_select3(r_ds1_filter,X9,X8)
& leq(X9,minus(n3,n1))
& leq(X8,minus(n3,n1))
& leq(n0,X9)
& leq(n0,X8) )
| ? [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) ) )
& ! [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) ) ),
inference(flattening,[],[f158]) ).
fof(f181,plain,
( ? [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f182,plain,
( ? [X8,X9] :
( a_select3(r_ds1_filter,X8,X9) != a_select3(r_ds1_filter,X9,X8)
& leq(X9,minus(n3,n1))
& leq(X8,minus(n3,n1))
& leq(n0,X9)
& leq(n0,X8) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f183,plain,
( ( ? [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) != a_select3(pminus_ds1_filter,X7,X6)
& leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6) )
| sP5
| sP4 )
& ! [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) ) ),
inference(definition_folding,[],[f159,f182,f181]) ).
fof(f231,plain,
( ? [X8,X9] :
( a_select3(r_ds1_filter,X8,X9) != a_select3(r_ds1_filter,X9,X8)
& leq(X9,minus(n3,n1))
& leq(X8,minus(n3,n1))
& leq(n0,X9)
& leq(n0,X8) )
| ~ sP5 ),
inference(nnf_transformation,[],[f182]) ).
fof(f232,plain,
( ? [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0)
& leq(X1,minus(n3,n1))
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP5 ),
inference(rectify,[],[f231]) ).
fof(f233,plain,
( ? [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0)
& leq(X1,minus(n3,n1))
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(r_ds1_filter,sK33,sK34) != a_select3(r_ds1_filter,sK34,sK33)
& leq(sK34,minus(n3,n1))
& leq(sK33,minus(n3,n1))
& leq(n0,sK34)
& leq(n0,sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f234,plain,
( ( a_select3(r_ds1_filter,sK33,sK34) != a_select3(r_ds1_filter,sK34,sK33)
& leq(sK34,minus(n3,n1))
& leq(sK33,minus(n3,n1))
& leq(n0,sK34)
& leq(n0,sK33) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34])],[f232,f233]) ).
fof(f235,plain,
( ? [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
| ~ sP4 ),
inference(nnf_transformation,[],[f181]) ).
fof(f236,plain,
( ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP4 ),
inference(rectify,[],[f235]) ).
fof(f237,plain,
( ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(q_ds1_filter,sK35,sK36) != a_select3(q_ds1_filter,sK36,sK35)
& leq(sK36,minus(n6,n1))
& leq(sK35,minus(n6,n1))
& leq(n0,sK36)
& leq(n0,sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f238,plain,
( ( a_select3(q_ds1_filter,sK35,sK36) != a_select3(q_ds1_filter,sK36,sK35)
& leq(sK36,minus(n6,n1))
& leq(sK35,minus(n6,n1))
& leq(n0,sK36)
& leq(n0,sK35) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36])],[f236,f237]) ).
fof(f239,plain,
( ( ? [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
| sP5
| sP4 )
& ! [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) ) ),
inference(rectify,[],[f183]) ).
fof(f240,plain,
( ? [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(pminus_ds1_filter,sK37,sK38) != a_select3(pminus_ds1_filter,sK38,sK37)
& leq(sK38,minus(n6,n1))
& leq(sK37,minus(n6,n1))
& leq(n0,sK38)
& leq(n0,sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f241,plain,
( ( ( a_select3(pminus_ds1_filter,sK37,sK38) != a_select3(pminus_ds1_filter,sK38,sK37)
& leq(sK38,minus(n6,n1))
& leq(sK37,minus(n6,n1))
& leq(n0,sK38)
& leq(n0,sK37) )
| sP5
| sP4 )
& ! [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38])],[f239,f240]) ).
fof(f352,plain,
( leq(n0,sK33)
| ~ sP5 ),
inference(cnf_transformation,[],[f234]) ).
fof(f353,plain,
( leq(n0,sK34)
| ~ sP5 ),
inference(cnf_transformation,[],[f234]) ).
fof(f354,plain,
( leq(sK33,minus(n3,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f234]) ).
fof(f355,plain,
( leq(sK34,minus(n3,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f234]) ).
fof(f356,plain,
( a_select3(r_ds1_filter,sK33,sK34) != a_select3(r_ds1_filter,sK34,sK33)
| ~ sP5 ),
inference(cnf_transformation,[],[f234]) ).
fof(f357,plain,
( leq(n0,sK35)
| ~ sP4 ),
inference(cnf_transformation,[],[f238]) ).
fof(f358,plain,
( leq(n0,sK36)
| ~ sP4 ),
inference(cnf_transformation,[],[f238]) ).
fof(f359,plain,
( leq(sK35,minus(n6,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f238]) ).
fof(f360,plain,
( leq(sK36,minus(n6,n1))
| ~ sP4 ),
inference(cnf_transformation,[],[f238]) ).
fof(f361,plain,
( a_select3(q_ds1_filter,sK35,sK36) != a_select3(q_ds1_filter,sK36,sK35)
| ~ sP4 ),
inference(cnf_transformation,[],[f238]) ).
fof(f362,plain,
! [X6,X7] :
( a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) ),
inference(cnf_transformation,[],[f241]) ).
fof(f363,plain,
! [X4,X5] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f241]) ).
fof(f364,plain,
! [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f241]) ).
fof(f365,plain,
( leq(n0,sK37)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f241]) ).
fof(f366,plain,
( leq(n0,sK38)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f241]) ).
fof(f367,plain,
( leq(sK37,minus(n6,n1))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f241]) ).
fof(f368,plain,
( leq(sK38,minus(n6,n1))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f241]) ).
fof(f369,plain,
( a_select3(pminus_ds1_filter,sK37,sK38) != a_select3(pminus_ds1_filter,sK38,sK37)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f241]) ).
cnf(c_157,plain,
( a_select3(r_ds1_filter,sK33,sK34) != a_select3(r_ds1_filter,sK34,sK33)
| ~ sP5 ),
inference(cnf_transformation,[],[f356]) ).
cnf(c_158,plain,
( ~ sP5
| leq(sK34,minus(n3,n1)) ),
inference(cnf_transformation,[],[f355]) ).
cnf(c_159,plain,
( ~ sP5
| leq(sK33,minus(n3,n1)) ),
inference(cnf_transformation,[],[f354]) ).
cnf(c_160,plain,
( ~ sP5
| leq(n0,sK34) ),
inference(cnf_transformation,[],[f353]) ).
cnf(c_161,plain,
( ~ sP5
| leq(n0,sK33) ),
inference(cnf_transformation,[],[f352]) ).
cnf(c_162,plain,
( a_select3(q_ds1_filter,sK35,sK36) != a_select3(q_ds1_filter,sK36,sK35)
| ~ sP4 ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_163,plain,
( ~ sP4
| leq(sK36,minus(n6,n1)) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_164,plain,
( ~ sP4
| leq(sK35,minus(n6,n1)) ),
inference(cnf_transformation,[],[f359]) ).
cnf(c_165,plain,
( ~ sP4
| leq(n0,sK36) ),
inference(cnf_transformation,[],[f358]) ).
cnf(c_166,plain,
( ~ sP4
| leq(n0,sK35) ),
inference(cnf_transformation,[],[f357]) ).
cnf(c_167,negated_conjecture,
( a_select3(pminus_ds1_filter,sK37,sK38) != a_select3(pminus_ds1_filter,sK38,sK37)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_168,negated_conjecture,
( leq(sK38,minus(n6,n1))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_169,negated_conjecture,
( leq(sK37,minus(n6,n1))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_170,negated_conjecture,
( leq(n0,sK38)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_171,negated_conjecture,
( leq(n0,sK37)
| sP5
| sP4 ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_172,negated_conjecture,
( ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_173,negated_conjecture,
( ~ leq(X0,minus(n3,n1))
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_174,negated_conjecture,
( ~ leq(X0,minus(n6,n1))
| ~ leq(X1,minus(n6,n1))
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_6787,plain,
minus(n6,n1) = sP0_iProver_def,
definition ).
cnf(c_6788,plain,
minus(n3,n1) = sP1_iProver_def,
definition ).
cnf(c_6789,plain,
a_select3(pminus_ds1_filter,sK37,sK38) = sP2_iProver_def,
definition ).
cnf(c_6790,plain,
a_select3(pminus_ds1_filter,sK38,sK37) = sP3_iProver_def,
definition ).
cnf(c_6791,negated_conjecture,
( ~ leq(X0,sP0_iProver_def)
| ~ leq(X1,sP0_iProver_def)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) ),
inference(demodulation,[status(thm)],[c_174,c_6787]) ).
cnf(c_6792,negated_conjecture,
( ~ leq(X0,sP1_iProver_def)
| ~ leq(X1,sP1_iProver_def)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) ),
inference(demodulation,[status(thm)],[c_173,c_6788]) ).
cnf(c_6793,negated_conjecture,
( ~ leq(X0,sP0_iProver_def)
| ~ leq(X1,sP0_iProver_def)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0) ),
inference(demodulation,[status(thm)],[c_172]) ).
cnf(c_6794,negated_conjecture,
( leq(n0,sK37)
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_171]) ).
cnf(c_6795,negated_conjecture,
( leq(n0,sK38)
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_170]) ).
cnf(c_6796,negated_conjecture,
( leq(sK37,sP0_iProver_def)
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_169]) ).
cnf(c_6797,negated_conjecture,
( leq(sK38,sP0_iProver_def)
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_168]) ).
cnf(c_6798,negated_conjecture,
( sP2_iProver_def != sP3_iProver_def
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_167,c_6790,c_6789]) ).
cnf(c_10147,plain,
( ~ leq(X0,sP0_iProver_def)
| ~ leq(n0,X0)
| ~ leq(sK38,sP0_iProver_def)
| a_select3(pminus_ds1_filter,X0,sK38) = a_select3(pminus_ds1_filter,sK38,X0)
| sP5
| sP4 ),
inference(superposition,[status(thm)],[c_6795,c_6793]) ).
cnf(c_10148,plain,
( ~ leq(X0,sP0_iProver_def)
| ~ leq(n0,X0)
| ~ leq(sK37,sP0_iProver_def)
| a_select3(pminus_ds1_filter,X0,sK37) = a_select3(pminus_ds1_filter,sK37,X0)
| sP5
| sP4 ),
inference(superposition,[status(thm)],[c_6794,c_6793]) ).
cnf(c_10390,plain,
( ~ leq(n0,X0)
| ~ leq(X0,sP0_iProver_def)
| a_select3(pminus_ds1_filter,X0,sK38) = a_select3(pminus_ds1_filter,sK38,X0)
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_10147,c_6797,c_10147]) ).
cnf(c_10391,plain,
( ~ leq(X0,sP0_iProver_def)
| ~ leq(n0,X0)
| a_select3(pminus_ds1_filter,X0,sK38) = a_select3(pminus_ds1_filter,sK38,X0)
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_10390]) ).
cnf(c_10405,plain,
( ~ leq(sK37,sP0_iProver_def)
| a_select3(pminus_ds1_filter,sK37,sK38) = a_select3(pminus_ds1_filter,sK38,sK37)
| sP5
| sP4 ),
inference(superposition,[status(thm)],[c_6794,c_10391]) ).
cnf(c_10406,plain,
( ~ leq(sK37,sP0_iProver_def)
| sP2_iProver_def = sP3_iProver_def
| sP5
| sP4 ),
inference(light_normalisation,[status(thm)],[c_10405,c_6789,c_6790]) ).
cnf(c_10411,plain,
( sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_10148,c_6796,c_6798,c_10406]) ).
cnf(c_10428,plain,
( ~ leq(X0,sP1_iProver_def)
| ~ leq(n0,X0)
| ~ leq(sK34,sP1_iProver_def)
| ~ sP5
| a_select3(r_ds1_filter,X0,sK34) = a_select3(r_ds1_filter,sK34,X0) ),
inference(superposition,[status(thm)],[c_160,c_6792]) ).
cnf(c_10509,plain,
( ~ leq(X0,sP0_iProver_def)
| ~ leq(n0,X0)
| ~ leq(sK36,sP0_iProver_def)
| ~ sP4
| a_select3(q_ds1_filter,X0,sK36) = a_select3(q_ds1_filter,sK36,X0) ),
inference(superposition,[status(thm)],[c_165,c_6791]) ).
cnf(c_10622,plain,
( ~ leq(sK33,sP1_iProver_def)
| ~ leq(sK34,sP1_iProver_def)
| ~ sP5
| a_select3(r_ds1_filter,sK33,sK34) = a_select3(r_ds1_filter,sK34,sK33) ),
inference(superposition,[status(thm)],[c_161,c_10428]) ).
cnf(c_10805,plain,
( ~ leq(sK35,sP0_iProver_def)
| ~ leq(sK36,sP0_iProver_def)
| ~ sP4
| a_select3(q_ds1_filter,sK35,sK36) = a_select3(q_ds1_filter,sK36,sK35) ),
inference(superposition,[status(thm)],[c_166,c_10509]) ).
cnf(c_10926,plain,
( ~ sP5
| leq(sK34,sP1_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_158,c_6788]) ).
cnf(c_10941,plain,
( ~ sP5
| leq(sK33,sP1_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_159,c_6788]) ).
cnf(c_11020,plain,
( ~ sP4
| leq(sK36,sP0_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_163,c_6787]) ).
cnf(c_11045,plain,
( ~ sP4
| leq(sK35,sP0_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_164,c_6787]) ).
cnf(c_11078,plain,
( ~ sP5
| ~ leq(sK34,sP1_iProver_def)
| ~ leq(sK33,sP1_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_10622,c_157,c_10622]) ).
cnf(c_11079,plain,
( ~ leq(sK33,sP1_iProver_def)
| ~ leq(sK34,sP1_iProver_def)
| ~ sP5 ),
inference(renaming,[status(thm)],[c_11078]) ).
cnf(c_11083,plain,
~ sP5,
inference(forward_subsumption_resolution,[status(thm)],[c_11079,c_10926,c_10941]) ).
cnf(c_11084,plain,
sP4,
inference(backward_subsumption_resolution,[status(thm)],[c_10411,c_11083]) ).
cnf(c_11085,plain,
leq(sK35,sP0_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_11045,c_11084]) ).
cnf(c_11086,plain,
leq(sK36,sP0_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_11020,c_11084]) ).
cnf(c_11107,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11085,c_11086,c_11084,c_10805,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV122+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.11/0.34 % Computer : n012.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Fri May 3 00:01:55 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.83/1.16 % SZS status Started for theBenchmark.p
% 3.83/1.16 % SZS status Theorem for theBenchmark.p
% 3.83/1.16
% 3.83/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.83/1.16
% 3.83/1.16 ------ iProver source info
% 3.83/1.16
% 3.83/1.16 git: date: 2024-05-02 19:28:25 +0000
% 3.83/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.83/1.16 git: non_committed_changes: false
% 3.83/1.16
% 3.83/1.16 ------ Parsing...
% 3.83/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.83/1.16
% 3.83/1.16 ------ Preprocessing... sup_sim: 17 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.83/1.16
% 3.83/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.83/1.16
% 3.83/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.83/1.16 ------ Proving...
% 3.83/1.16 ------ Problem Properties
% 3.83/1.16
% 3.83/1.16
% 3.83/1.16 clauses 171
% 3.83/1.16 conjectures 8
% 3.83/1.16 EPR 53
% 3.83/1.16 Horn 115
% 3.83/1.16 unary 58
% 3.83/1.16 binary 44
% 3.83/1.16 lits 550
% 3.83/1.16 lits eq 131
% 3.83/1.16 fd_pure 0
% 3.83/1.16 fd_pseudo 0
% 3.83/1.16 fd_cond 7
% 3.83/1.16 fd_pseudo_cond 4
% 3.83/1.16 AC symbols 0
% 3.83/1.16
% 3.83/1.16 ------ Schedule dynamic 5 is on
% 3.83/1.16
% 3.83/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.83/1.16
% 3.83/1.16
% 3.83/1.16 ------
% 3.83/1.16 Current options:
% 3.83/1.16 ------
% 3.83/1.16
% 3.83/1.16
% 3.83/1.16
% 3.83/1.16
% 3.83/1.16 ------ Proving...
% 3.83/1.16
% 3.83/1.16
% 3.83/1.16 % SZS status Theorem for theBenchmark.p
% 3.83/1.16
% 3.83/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.83/1.16
% 3.83/1.17
%------------------------------------------------------------------------------