TSTP Solution File: NUM851+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM851+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n016.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 18:06:58 EDT 2022
% Result : Theorem 1.75s 0.61s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 19 unt; 3 typ; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_6,type,
sQ5_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_7,type,
sQ6_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_8,type,
sQ7_eqProxy: ( $real * $real ) > $o ).
fof(f1161,plain,
$false,
inference(trivial_inequality_removal,[],[f1160]) ).
fof(f1160,plain,
vplus(vmul(vd471,vd469),vmul(vd469,vd473)) != vplus(vmul(vd471,vd469),vmul(vd469,vd473)),
inference(forward_demodulation,[],[f1159,f275]) ).
fof(f275,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(literal_reordering,[],[f192]) ).
fof(f192,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X6,X7] : vmul(X6,X7) = vmul(X7,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f1159,plain,
vplus(vmul(vd469,vd471),vmul(vd469,vd473)) != vplus(vmul(vd471,vd469),vmul(vd469,vd473)),
inference(superposition,[],[f448,f294]) ).
fof(f294,plain,
! [X2,X0,X1] : vmul(X2,vplus(X1,X0)) = vplus(vmul(X2,X1),vmul(X2,X0)),
inference(literal_reordering,[],[f201]) ).
fof(f201,plain,
! [X2,X0,X1] : vmul(X2,vplus(X1,X0)) = vplus(vmul(X2,X1),vmul(X2,X0)),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] : vmul(X2,vplus(X1,X0)) = vplus(vmul(X2,X1),vmul(X2,X0)),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X1,X2,X0] : vplus(vmul(X0,X2),vmul(X0,X1)) = vmul(X0,vplus(X2,X1)),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X3,X5,X4] : vmul(X3,vplus(X4,X5)) = vplus(vmul(X3,X4),vmul(X3,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
fof(f448,plain,
vmul(vd469,vplus(vd471,vd473)) != vplus(vmul(vd471,vd469),vmul(vd469,vd473)),
inference(superposition,[],[f446,f275]) ).
fof(f446,plain,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd469,vd473)),
inference(forward_demodulation,[],[f304,f275]) ).
fof(f304,plain,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(literal_reordering,[],[f216]) ).
fof(f216,plain,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
vmul(vplus(vd471,vd473),vd469) = vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq_conjunct2(conseq(302)), 475, 1)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM851+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n016.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 : Tue Aug 30 09:26:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (1863)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)
% 0.19/0.49 % (1854)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)
% 0.19/0.49 % (1839)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)
% 0.19/0.49 % (1847)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (1847)Instruction limit reached!
% 0.19/0.50 % (1847)------------------------------
% 0.19/0.50 % (1847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (1847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (1847)Termination reason: Unknown
% 0.19/0.50 % (1847)Termination phase: Preprocessing 3
% 0.19/0.50
% 0.19/0.50 % (1847)Memory used [KB]: 1023
% 0.19/0.50 % (1847)Time elapsed: 0.002 s
% 0.19/0.50 % (1847)Instructions burned: 3 (million)
% 0.19/0.50 % (1847)------------------------------
% 0.19/0.50 % (1847)------------------------------
% 0.19/0.50 % (1852)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (1855)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)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 % (1846)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.52 % (1846)Instruction limit reached!
% 0.19/0.52 % (1846)------------------------------
% 0.19/0.52 % (1846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (1846)Termination reason: Unknown
% 0.19/0.52 % (1846)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (1846)Memory used [KB]: 5628
% 0.19/0.52 % (1846)Time elapsed: 0.089 s
% 0.19/0.52 % (1846)Instructions burned: 7 (million)
% 0.19/0.52 % (1846)------------------------------
% 0.19/0.52 % (1846)------------------------------
% 0.19/0.52 % (1860)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (1844)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)
% 0.19/0.52 % (1845)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)
% 0.19/0.52 % (1851)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (1841)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)
% 0.19/0.52 % (1853)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)
% 0.19/0.52 % (1848)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)
% 0.19/0.52 % (1842)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)
% 0.19/0.53 % (1849)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (1843)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (1850)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)
% 0.19/0.53 % (1865)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (1870)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)
% 0.19/0.53 % (1867)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)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.54 % (1840)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)
% 0.19/0.54 % (1859)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)
% 0.19/0.54 % (1868)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)
% 0.19/0.54 % (1857)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (1869)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (1858)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)
% 0.19/0.54 % (1866)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 TRYING [3]
% 0.19/0.55 % (1862)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)
% 0.19/0.55 TRYING [4]
% 1.62/0.56 % (1856)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.62/0.56 TRYING [1]
% 1.75/0.57 TRYING [2]
% 1.75/0.58 TRYING [3]
% 1.75/0.58 % (1854)Instruction limit reached!
% 1.75/0.58 % (1854)------------------------------
% 1.75/0.58 % (1854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.58 % (1854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.58 % (1854)Termination reason: Unknown
% 1.75/0.58 % (1854)Termination phase: Saturation
% 1.75/0.58
% 1.75/0.58 % (1854)Memory used [KB]: 2302
% 1.75/0.58 % (1854)Time elapsed: 0.145 s
% 1.75/0.58 % (1854)Instructions burned: 75 (million)
% 1.75/0.58 % (1854)------------------------------
% 1.75/0.58 % (1854)------------------------------
% 1.75/0.59 % (1853)First to succeed.
% 1.75/0.60 % (1845)Instruction limit reached!
% 1.75/0.60 % (1845)------------------------------
% 1.75/0.60 % (1845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60 % (1845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.60 % (1845)Termination reason: Unknown
% 1.75/0.60 % (1845)Termination phase: Finite model building SAT solving
% 1.75/0.60
% 1.75/0.60 % (1845)Memory used [KB]: 7547
% 1.75/0.60 % (1845)Time elapsed: 0.163 s
% 1.75/0.60 % (1845)Instructions burned: 51 (million)
% 1.75/0.60 % (1845)------------------------------
% 1.75/0.60 % (1845)------------------------------
% 1.75/0.60 % (1841)Instruction limit reached!
% 1.75/0.60 % (1841)------------------------------
% 1.75/0.60 % (1841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60 % (1841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.60 % (1841)Termination reason: Unknown
% 1.75/0.60 % (1841)Termination phase: Saturation
% 1.75/0.60
% 1.75/0.60 % (1841)Memory used [KB]: 1663
% 1.75/0.60 % (1841)Time elapsed: 0.193 s
% 1.75/0.60 % (1841)Instructions burned: 37 (million)
% 1.75/0.60 % (1841)------------------------------
% 1.75/0.60 % (1841)------------------------------
% 1.75/0.61 % (1844)Instruction limit reached!
% 1.75/0.61 % (1844)------------------------------
% 1.75/0.61 % (1844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.61 % (1844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.61 % (1844)Termination reason: Unknown
% 1.75/0.61 % (1844)Termination phase: Saturation
% 1.75/0.61
% 1.75/0.61 % (1844)Memory used [KB]: 5884
% 1.75/0.61 % (1844)Time elapsed: 0.222 s
% 1.75/0.61 % (1844)Instructions burned: 48 (million)
% 1.75/0.61 % (1844)------------------------------
% 1.75/0.61 % (1844)------------------------------
% 1.75/0.61 % (1849)Instruction limit reached!
% 1.75/0.61 % (1849)------------------------------
% 1.75/0.61 % (1849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.61 % (1849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.61 % (1849)Termination reason: Unknown
% 1.75/0.61 % (1849)Termination phase: Saturation
% 1.75/0.61
% 1.75/0.61 % (1849)Memory used [KB]: 6524
% 1.75/0.61 % (1849)Time elapsed: 0.209 s
% 1.75/0.61 % (1849)Instructions burned: 50 (million)
% 1.75/0.61 % (1849)------------------------------
% 1.75/0.61 % (1849)------------------------------
% 1.75/0.61 % (1848)Instruction limit reached!
% 1.75/0.61 % (1848)------------------------------
% 1.75/0.61 % (1848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.61 % (1848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.61 % (1848)Termination reason: Unknown
% 1.75/0.61 % (1848)Termination phase: Saturation
% 1.75/0.61
% 1.75/0.61 % (1848)Memory used [KB]: 1791
% 1.75/0.61 % (1848)Time elapsed: 0.211 s
% 1.75/0.61 % (1848)Instructions burned: 52 (million)
% 1.75/0.61 % (1848)------------------------------
% 1.75/0.61 % (1848)------------------------------
% 1.75/0.61 % (1968)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 1.75/0.61 TRYING [4]
% 1.75/0.61 % (1856)Instruction limit reached!
% 1.75/0.61 % (1856)------------------------------
% 1.75/0.61 % (1856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.61 % (1856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.61 % (1856)Termination reason: Unknown
% 1.75/0.61 % (1856)Termination phase: Finite model building constraint generation
% 1.75/0.61
% 1.75/0.61 % (1856)Memory used [KB]: 8059
% 1.75/0.61 % (1856)Time elapsed: 0.206 s
% 1.75/0.61 % (1856)Instructions burned: 60 (million)
% 1.75/0.61 % (1856)------------------------------
% 1.75/0.61 % (1856)------------------------------
% 1.75/0.61 % (1853)Refutation found. Thanks to Tanya!
% 1.75/0.61 % SZS status Theorem for theBenchmark
% 1.75/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.61 % (1853)------------------------------
% 1.75/0.61 % (1853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.61 % (1853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.61 % (1853)Termination reason: Refutation
% 1.75/0.61
% 1.75/0.61 % (1853)Memory used [KB]: 6524
% 1.75/0.61 % (1853)Time elapsed: 0.031 s
% 1.75/0.61 % (1853)Instructions burned: 50 (million)
% 1.75/0.61 % (1853)------------------------------
% 1.75/0.61 % (1853)------------------------------
% 1.75/0.61 % (1837)Success in time 0.263 s
%------------------------------------------------------------------------------