TSTP Solution File: CAT003-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CAT003-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 : Sun May 5 04:43:42 EDT 2024
% Result : Unsatisfiable 3.52s 0.87s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 49 ( 31 unt; 0 def)
% Number of atoms : 84 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 79 ( 44 ~; 32 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 74 ( 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44567,plain,
$false,
inference(subsumption_resolution,[],[f44566,f33420]) ).
fof(f33420,plain,
~ sP4(compose(h,c),c,d,a),
inference(forward_demodulation,[],[f33403,f4605]) ).
fof(f4605,plain,
d = compose(h,a),
inference(unit_resulting_resolution,[],[f21,f69,f18]) ).
fof(f18,axiom,
! [X2,X0,X1,X6] :
( ~ product(X0,X1,X6)
| X2 = X6
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_is_well_defined) ).
fof(f69,plain,
product(h,a,compose(h,a)),
inference(unit_resulting_resolution,[],[f39,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ defined(X0,X1)
| product(X0,X1,compose(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_composition) ).
fof(f39,plain,
defined(h,a),
inference(unit_resulting_resolution,[],[f21,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_property1) ).
fof(f21,axiom,
product(h,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ha_equals_d) ).
fof(f33403,plain,
~ sP4(compose(h,c),c,compose(h,a),a),
inference(unit_resulting_resolution,[],[f69,f2926,f33]) ).
fof(f33,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP4(X5,X4,X3,X1)
| ~ product(X0,X4,X5)
| ~ product(X0,X1,X3) ),
inference(general_splitting,[],[f8,f32_D]) ).
fof(f32,plain,
! [X2,X3,X1,X4,X5] :
( ~ product(X1,X2,X4)
| product(X3,X2,X5)
| sP4(X5,X4,X3,X1) ),
inference(cnf_transformation,[],[f32_D]) ).
fof(f32_D,plain,
! [X1,X3,X4,X5] :
( ! [X2] :
( ~ product(X1,X2,X4)
| product(X3,X2,X5) )
<=> ~ sP4(X5,X4,X3,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X2,X4)
| ~ product(X0,X1,X3)
| ~ product(X0,X4,X5)
| product(X3,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',category_theory_axiom5) ).
fof(f2926,plain,
product(h,c,compose(h,c)),
inference(unit_resulting_resolution,[],[f2466,f1]) ).
fof(f2466,plain,
defined(h,c),
inference(unit_resulting_resolution,[],[f678,f11,f13,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ defined(X1,X2)
| ~ identity_map(X1)
| ~ defined(X0,X1)
| defined(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',category_theory_axiom6) ).
fof(f13,axiom,
! [X0] : defined(codomain(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mapping_from_codomain_of_x_to_x) ).
fof(f11,axiom,
! [X0] : identity_map(codomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_is_an_identity_map) ).
fof(f678,plain,
defined(h,codomain(c)),
inference(unit_resulting_resolution,[],[f39,f664,f27]) ).
fof(f27,plain,
! [X0,X1,X4] :
( ~ sP1(X4,X1)
| defined(X0,X1)
| ~ defined(X0,X4) ),
inference(general_splitting,[],[f6,f26_D]) ).
fof(f26,plain,
! [X2,X1,X4] :
( ~ product(X1,X2,X4)
| sP1(X4,X1) ),
inference(cnf_transformation,[],[f26_D]) ).
fof(f26_D,plain,
! [X1,X4] :
( ! [X2] : ~ product(X1,X2,X4)
<=> ~ sP1(X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f6,axiom,
! [X2,X0,X1,X4] :
( ~ defined(X0,X4)
| defined(X0,X1)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',category_theory_axiom3) ).
fof(f664,plain,
sP1(a,codomain(c)),
inference(unit_resulting_resolution,[],[f345,f26]) ).
fof(f345,plain,
product(codomain(c),a,a),
inference(unit_resulting_resolution,[],[f11,f295,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ defined(X0,X1)
| ~ identity_map(X0)
| product(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity1) ).
fof(f295,plain,
defined(codomain(c),a),
inference(unit_resulting_resolution,[],[f13,f58,f27]) ).
fof(f58,plain,
sP1(c,a),
inference(unit_resulting_resolution,[],[f19,f26]) ).
fof(f19,axiom,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_equals_c) ).
fof(f44566,plain,
sP4(compose(h,c),c,d,a),
inference(forward_demodulation,[],[f44564,f4597]) ).
fof(f4597,plain,
c = compose(a,b),
inference(unit_resulting_resolution,[],[f19,f68,f18]) ).
fof(f68,plain,
product(a,b,compose(a,b)),
inference(unit_resulting_resolution,[],[f38,f1]) ).
fof(f38,plain,
defined(a,b),
inference(unit_resulting_resolution,[],[f19,f2]) ).
fof(f44564,plain,
sP4(compose(h,c),compose(a,b),d,a),
inference(unit_resulting_resolution,[],[f68,f44541,f32]) ).
fof(f44541,plain,
~ product(d,b,compose(h,c)),
inference(unit_resulting_resolution,[],[f19,f39393,f34]) ).
fof(f34,plain,
! [X2,X3,X1,X4,X5] :
( ~ product(X1,X2,X4)
| ~ product(X3,X2,X5)
| sP5(X5,X4,X3,X1) ),
inference(cnf_transformation,[],[f34_D]) ).
fof(f34_D,plain,
! [X1,X3,X4,X5] :
( ! [X2] :
( ~ product(X1,X2,X4)
| ~ product(X3,X2,X5) )
<=> ~ sP5(X5,X4,X3,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f39393,plain,
~ sP5(compose(h,c),c,d,a),
inference(forward_demodulation,[],[f39229,f4617]) ).
fof(f4617,plain,
d = compose(g,a),
inference(unit_resulting_resolution,[],[f22,f70,f18]) ).
fof(f70,plain,
product(g,a,compose(g,a)),
inference(unit_resulting_resolution,[],[f40,f1]) ).
fof(f40,plain,
defined(g,a),
inference(unit_resulting_resolution,[],[f22,f2]) ).
fof(f22,axiom,
product(g,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ga_equals_d) ).
fof(f39229,plain,
~ sP5(compose(h,c),c,compose(g,a),a),
inference(unit_resulting_resolution,[],[f70,f33322,f35]) ).
fof(f35,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP5(X5,X4,X3,X1)
| product(X0,X4,X5)
| ~ product(X0,X1,X3) ),
inference(general_splitting,[],[f5,f34_D]) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X3)
| ~ product(X1,X2,X4)
| ~ product(X3,X2,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',category_theory_axiom2) ).
fof(f33322,plain,
~ product(g,c,compose(h,c)),
inference(unit_resulting_resolution,[],[f23,f2926,f20]) ).
fof(f20,axiom,
! [X0,X1,X6] :
( ~ product(X1,c,X6)
| X0 = X1
| ~ product(X0,c,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product) ).
fof(f23,axiom,
h != g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 18:11:07 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % (16966)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.36 % (16970)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.36 % (16969)WARNING: value z3 for option sas not known
% 0.18/0.36 % (16971)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.18/0.36 % (16968)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.36 % (16972)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.18/0.36 TRYING [1]
% 0.18/0.36 % (16973)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.18/0.36 TRYING [2]
% 0.18/0.36 % (16969)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.37 TRYING [3]
% 0.18/0.37 % (16967)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.37 TRYING [4]
% 0.18/0.37 TRYING [1]
% 0.18/0.37 TRYING [2]
% 0.18/0.38 TRYING [5]
% 0.18/0.38 TRYING [3]
% 0.18/0.41 TRYING [4]
% 0.18/0.41 TRYING [6]
% 0.18/0.46 TRYING [5]
% 0.18/0.50 TRYING [7]
% 1.67/0.62 TRYING [6]
% 2.65/0.72 TRYING [8]
% 3.52/0.87 % (16973)First to succeed.
% 3.52/0.87 % (16973)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16966"
% 3.52/0.87 % (16973)Refutation found. Thanks to Tanya!
% 3.52/0.87 % SZS status Unsatisfiable for theBenchmark
% 3.52/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 3.52/0.87 % (16973)------------------------------
% 3.52/0.87 % (16973)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.52/0.87 % (16973)Termination reason: Refutation
% 3.52/0.87
% 3.52/0.87 % (16973)Memory used [KB]: 6277
% 3.52/0.87 % (16973)Time elapsed: 0.506 s
% 3.52/0.87 % (16973)Instructions burned: 1075 (million)
% 3.52/0.87 % (16966)Success in time 0.517 s
%------------------------------------------------------------------------------