TSTP Solution File: SWV415+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV415+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n021.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 : Wed Aug 31 18:56:46 EDT 2022
% Result : Theorem 1.41s 0.57s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 27 unt; 3 typ; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 11 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 104 ( 92 !; 12 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_21,type,
sQ6_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_22,type,
sQ7_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_23,type,
sQ8_eqProxy: ( $real * $real ) > $o ).
fof(f1011,plain,
$false,
inference(equality_resolution,[],[f997]) ).
fof(f997,plain,
! [X0,X1] : insert_pq(i(triple(sK4,sK3,sK2)),sK1) != insert_pq(i(triple(X0,sK3,X1)),sK1),
inference(superposition,[],[f989,f331]) ).
fof(f331,plain,
! [X2,X3,X0,X1,X4] : i(triple(X3,insert_slb(X4,pair(X1,X2)),X0)) = insert_pq(i(triple(X3,X4,X0)),X1),
inference(literal_reordering,[],[f251]) ).
fof(f251,plain,
! [X2,X3,X0,X1,X4] : i(triple(X3,insert_slb(X4,pair(X1,X2)),X0)) = insert_pq(i(triple(X3,X4,X0)),X1),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1,X2,X3,X4] : i(triple(X3,insert_slb(X4,pair(X1,X2)),X0)) = insert_pq(i(triple(X3,X4,X0)),X1),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X2,X0,X1,X4,X3] : i(triple(X4,insert_slb(X3,pair(X0,X1)),X2)) = insert_pq(i(triple(X4,X3,X2)),X0),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X3,X4,X2,X1,X0] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f989,plain,
! [X0,X1] : insert_pq(i(triple(sK4,sK3,sK2)),sK1) != i(triple(X0,insert_slb(sK3,pair(sK1,bottom)),X1)),
inference(superposition,[],[f337,f565]) ).
fof(f565,plain,
! [X21,X24,X22,X25,X23,X20] : i(insert_cpq(triple(X20,X22,X23),X21)) = i(triple(X24,insert_slb(X22,pair(X21,bottom)),X25)),
inference(superposition,[],[f312,f325]) ).
fof(f325,plain,
! [X2,X3,X0,X1] : triple(insert_pqp(X0,X3),insert_slb(X2,pair(X3,bottom)),X1) = insert_cpq(triple(X0,X2,X1),X3),
inference(literal_reordering,[],[f263]) ).
fof(f263,plain,
! [X2,X3,X0,X1] : triple(insert_pqp(X0,X3),insert_slb(X2,pair(X3,bottom)),X1) = insert_cpq(triple(X0,X2,X1),X3),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1,X2,X3] : triple(insert_pqp(X0,X3),insert_slb(X2,pair(X3,bottom)),X1) = insert_cpq(triple(X0,X2,X1),X3),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X1,X3,X0,X2] : insert_cpq(triple(X1,X0,X3),X2) = triple(insert_pqp(X1,X2),insert_slb(X0,pair(X2,bottom)),X3),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X1,X0,X3,X2] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
fof(f312,plain,
! [X2,X3,X0,X1,X4] : i(triple(X1,X4,X0)) = i(triple(X3,X4,X2)),
inference(literal_reordering,[],[f268]) ).
fof(f268,plain,
! [X2,X3,X0,X1,X4] : i(triple(X1,X4,X0)) = i(triple(X3,X4,X2)),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1,X2,X3,X4] : i(triple(X1,X4,X0)) = i(triple(X3,X4,X2)),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X2,X3,X4,X1,X0] : i(triple(X1,X0,X4)) = i(triple(X3,X0,X2)),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X2,X0,X4,X1,X3] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main2_l12) ).
fof(f337,plain,
insert_pq(i(triple(sK4,sK3,sK2)),sK1) != i(insert_cpq(triple(sK4,sK3,sK2),sK1)),
inference(literal_reordering,[],[f228]) ).
fof(f228,plain,
insert_pq(i(triple(sK4,sK3,sK2)),sK1) != i(insert_cpq(triple(sK4,sK3,sK2),sK1)),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
insert_pq(i(triple(sK4,sK3,sK2)),sK1) != i(insert_cpq(triple(sK4,sK3,sK2),sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f171,f172]) ).
fof(f172,plain,
( ? [X0,X1,X2,X3] : insert_pq(i(triple(X3,X2,X1)),X0) != i(insert_cpq(triple(X3,X2,X1),X0))
=> insert_pq(i(triple(sK4,sK3,sK2)),sK1) != i(insert_cpq(triple(sK4,sK3,sK2),sK1)) ),
introduced(choice_axiom,[]) ).
fof(f171,plain,
? [X0,X1,X2,X3] : insert_pq(i(triple(X3,X2,X1)),X0) != i(insert_cpq(triple(X3,X2,X1),X0)),
inference(rectify,[],[f151]) ).
fof(f151,plain,
? [X0,X2,X3,X1] : i(insert_cpq(triple(X1,X3,X2),X0)) != insert_pq(i(triple(X1,X3,X2)),X0),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ! [X0,X3,X2,X1] : i(insert_cpq(triple(X1,X3,X2),X0)) = insert_pq(i(triple(X1,X3,X2)),X0),
inference(rectify,[],[f65]) ).
fof(f65,negated_conjecture,
~ ! [X3,X0,X2,X1] : insert_pq(i(triple(X0,X1,X2)),X3) = i(insert_cpq(triple(X0,X1,X2),X3)),
inference(negated_conjecture,[],[f64]) ).
fof(f64,conjecture,
! [X3,X0,X2,X1] : insert_pq(i(triple(X0,X1,X2)),X3) = i(insert_cpq(triple(X0,X1,X2),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV415+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 19:19:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (2075)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49 % (2083)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49 % (2087)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50 % (2079)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.50 % (2071)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (2091)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (2074)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (2073)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (2070)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.27/0.51 % (2068)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.27/0.52 TRYING [1]
% 1.27/0.52 % (2067)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.27/0.52 % (2066)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.27/0.52 % (2069)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.27/0.52 TRYING [2]
% 1.27/0.53 % (2084)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.27/0.53 % (2094)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.27/0.53 % (2085)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.41/0.53 % (2073)Instruction limit reached!
% 1.41/0.53 % (2073)------------------------------
% 1.41/0.53 % (2073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.53 % (2073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.53 % (2073)Termination reason: Unknown
% 1.41/0.53 % (2073)Termination phase: Function definition elimination
% 1.41/0.53
% 1.41/0.53 % (2073)Memory used [KB]: 1023
% 1.41/0.53 % (2073)Time elapsed: 0.004 s
% 1.41/0.53 % (2073)Instructions burned: 3 (million)
% 1.41/0.53 % (2073)------------------------------
% 1.41/0.53 % (2073)------------------------------
% 1.41/0.53 % (2092)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.41/0.53 % (2093)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.41/0.53 % (2089)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.41/0.53 % (2065)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.41/0.54 % (2072)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.54 % (2090)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.41/0.54 % (2077)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.41/0.54 % (2086)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.41/0.54 % (2072)Instruction limit reached!
% 1.41/0.54 % (2072)------------------------------
% 1.41/0.54 % (2072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (2072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (2072)Termination reason: Unknown
% 1.41/0.54 % (2072)Termination phase: Saturation
% 1.41/0.54
% 1.41/0.54 % (2072)Memory used [KB]: 5628
% 1.41/0.54 % (2072)Time elapsed: 0.134 s
% 1.41/0.54 % (2072)Instructions burned: 9 (million)
% 1.41/0.54 % (2072)------------------------------
% 1.41/0.54 % (2072)------------------------------
% 1.41/0.54 % (2076)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.54 % (2081)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.41/0.54 % (2080)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.41/0.55 % (2078)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.41/0.55 % (2088)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.41/0.55 TRYING [3]
% 1.41/0.55 % (2082)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.41/0.56 % (2071)Instruction limit reached!
% 1.41/0.56 % (2071)------------------------------
% 1.41/0.56 % (2071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.56 TRYING [1]
% 1.41/0.56 % (2071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.56 % (2071)Termination reason: Unknown
% 1.41/0.56 % (2071)Termination phase: Finite model building constraint generation
% 1.41/0.56
% 1.41/0.56 % (2071)Memory used [KB]: 8443
% 1.41/0.56 % (2071)Time elapsed: 0.110 s
% 1.41/0.56 % (2071)Instructions burned: 51 (million)
% 1.41/0.56 % (2071)------------------------------
% 1.41/0.56 % (2071)------------------------------
% 1.41/0.56 TRYING [2]
% 1.41/0.57 % (2079)First to succeed.
% 1.41/0.57 % (2079)Refutation found. Thanks to Tanya!
% 1.41/0.57 % SZS status Theorem for theBenchmark
% 1.41/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.57 % (2079)------------------------------
% 1.41/0.57 % (2079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.57 % (2079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.57 % (2079)Termination reason: Refutation
% 1.41/0.57
% 1.41/0.57 % (2079)Memory used [KB]: 6652
% 1.41/0.57 % (2079)Time elapsed: 0.059 s
% 1.41/0.57 % (2079)Instructions burned: 49 (million)
% 1.41/0.57 % (2079)------------------------------
% 1.41/0.57 % (2079)------------------------------
% 1.41/0.57 % (2064)Success in time 0.222 s
%------------------------------------------------------------------------------