%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO514+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:50 AM UTC 2026
% Result : Theorem 8.34s 2.05s
% Output : Refutation 8.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 18 unt; 0 def)
% Number of atoms : 100 ( 28 equ)
% Maximal formula atoms : 34 ( 2 avg)
% Number of connectives : 125 ( 61 ~; 49 |; 15 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 72 ( 68 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,axiom,
! [X0,X1,X2] :
( ~ s_col(X0,X1,X2)
| s_col(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11d) ).
fof(f159,conjecture,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ samesideline(X2,X3,X0,X1)
| samesideline(X2,X3,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aExtSameSide2) ).
fof(f160,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( X0 = X1
| ~ samesideline(X2,X3,X0,X1)
| samesideline(X2,X3,X1,X0) ),
inference(negated_conjecture,[status(cth)],[f159]) ).
fof(f175,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ~ samesideline(X0,X1,X2,X3)
| s_col(X2,X3,ss1(X0,X1,X2,X3)) )
& ( ~ samesideline(X0,X1,X2,X3)
| s_col(X2,X3,ss2(X0,X1,X2,X3)) )
& ( ~ samesideline(X0,X1,X2,X3)
| s_t(X0,ss1(X0,X1,X2,X3),ss3(X0,X1,X2,X3)) )
& ( ~ samesideline(X0,X1,X2,X3)
| s_t(X1,ss2(X0,X1,X2,X3),ss3(X0,X1,X2,X3)) )
& ( ~ samesideline(X0,X1,X2,X3)
| X0 != ss1(X0,X1,X2,X3) )
& ( ~ samesideline(X0,X1,X2,X3)
| X1 != ss2(X0,X1,X2,X3) )
& ( ~ samesideline(X0,X1,X2,X3)
| ss3(X0,X1,X2,X3) != ss1(X0,X1,X2,X3) )
& ( ~ samesideline(X0,X1,X2,X3)
| ss3(X0,X1,X2,X3) != ss2(X0,X1,X2,X3) )
& ( ~ samesideline(X0,X1,X2,X3)
| X2 != X3 )
& ( ~ samesideline(X0,X1,X2,X3)
| ~ s_col(X2,X3,X0) )
& ( ~ samesideline(X0,X1,X2,X3)
| ~ s_col(X2,X3,X1) )
& ( ~ s_t(X0,X4,X5)
| ~ s_t(X1,X6,X5)
| ~ s_col(X2,X3,X4)
| ~ s_col(X2,X3,X6)
| X2 = X3
| X5 = X4
| X5 = X6
| X0 = X4
| X1 = X6
| s_col(X2,X3,X0)
| s_col(X2,X3,X1)
| samesideline(X0,X1,X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn9_7) ).
fof(f176,plain,
? [X0,X1,X2,X3] :
( X0 != X1
& samesideline(X2,X3,X0,X1)
& ~ samesideline(X2,X3,X1,X0) ),
inference(ennf_transformation,[],[f160]) ).
fof(f177,plain,
( sK0 != sK1
& samesideline(sK2,sK3,sK0,sK1)
& ~ samesideline(sK2,sK3,sK1,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f176]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ~ s_col(X0,X1,X2)
| s_col(X1,X0,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f364,plain,
~ samesideline(sK2,sK3,sK1,sK0),
inference(cnf_transformation,[],[f177]) ).
fof(f365,plain,
samesideline(sK2,sK3,sK0,sK1),
inference(cnf_transformation,[],[f177]) ).
fof(f366,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f177]) ).
fof(f430,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ s_col(X2,X3,X6)
| ~ s_t(X1,X6,X5)
| ~ s_col(X2,X3,X4)
| ~ s_t(X0,X4,X5)
| X2 = X3
| X4 = X5
| X5 = X6
| X0 = X4
| X1 = X6
| s_col(X2,X3,X0)
| s_col(X2,X3,X1)
| samesideline(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f431,plain,
! [X2,X3,X0,X1] :
( ~ samesideline(X0,X1,X2,X3)
| ~ s_col(X2,X3,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f432,plain,
! [X2,X3,X0,X1] :
( ~ samesideline(X0,X1,X2,X3)
| ~ s_col(X2,X3,X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f434,plain,
! [X2,X3,X0,X1] :
( ss2(X0,X1,X2,X3) != ss3(X0,X1,X2,X3)
| ~ samesideline(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f435,plain,
! [X2,X3,X0,X1] :
( ss1(X0,X1,X2,X3) != ss3(X0,X1,X2,X3)
| ~ samesideline(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f436,plain,
! [X2,X3,X0,X1] :
( ss2(X0,X1,X2,X3) != X1
| ~ samesideline(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f437,plain,
! [X2,X3,X0,X1] :
( ss1(X0,X1,X2,X3) != X0
| ~ samesideline(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f438,plain,
! [X2,X3,X0,X1] :
( s_t(X1,ss2(X0,X1,X2,X3),ss3(X0,X1,X2,X3))
| ~ samesideline(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f439,plain,
! [X2,X3,X0,X1] :
( s_t(X0,ss1(X0,X1,X2,X3),ss3(X0,X1,X2,X3))
| ~ samesideline(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f440,plain,
! [X2,X3,X0,X1] :
( s_col(X2,X3,ss2(X0,X1,X2,X3))
| ~ samesideline(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f441,plain,
! [X2,X3,X0,X1] :
( s_col(X2,X3,ss1(X0,X1,X2,X3))
| ~ samesideline(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f469,plain,
~ s_col(sK0,sK1,sK3),
inference(unit_resulting_resolution,[],[f431,f365]) ).
fof(f470,plain,
~ s_col(sK0,sK1,sK2),
inference(unit_resulting_resolution,[],[f432,f365]) ).
fof(f471,plain,
sK3 != ss2(sK2,sK3,sK0,sK1),
inference(unit_resulting_resolution,[],[f436,f365]) ).
fof(f472,plain,
sK2 != ss1(sK2,sK3,sK0,sK1),
inference(unit_resulting_resolution,[],[f437,f365]) ).
fof(f473,plain,
s_col(sK0,sK1,ss2(sK2,sK3,sK0,sK1)),
inference(unit_resulting_resolution,[],[f440,f365]) ).
fof(f474,plain,
s_col(sK0,sK1,ss1(sK2,sK3,sK0,sK1)),
inference(unit_resulting_resolution,[],[f441,f365]) ).
fof(f475,plain,
ss2(sK2,sK3,sK0,sK1) != ss3(sK2,sK3,sK0,sK1),
inference(unit_resulting_resolution,[],[f434,f365]) ).
fof(f476,plain,
ss1(sK2,sK3,sK0,sK1) != ss3(sK2,sK3,sK0,sK1),
inference(unit_resulting_resolution,[],[f435,f365]) ).
fof(f477,plain,
s_t(sK3,ss2(sK2,sK3,sK0,sK1),ss3(sK2,sK3,sK0,sK1)),
inference(unit_resulting_resolution,[],[f438,f365]) ).
fof(f480,plain,
s_t(sK2,ss1(sK2,sK3,sK0,sK1),ss3(sK2,sK3,sK0,sK1)),
inference(unit_resulting_resolution,[],[f439,f365]) ).
fof(f557,plain,
~ s_col(sK1,sK0,sK3),
inference(unit_resulting_resolution,[],[f227,f469]) ).
fof(f558,plain,
~ s_col(sK1,sK0,sK2),
inference(unit_resulting_resolution,[],[f227,f470]) ).
fof(f559,plain,
s_col(sK1,sK0,ss2(sK2,sK3,sK0,sK1)),
inference(unit_resulting_resolution,[],[f227,f473]) ).
fof(f560,plain,
s_col(sK1,sK0,ss1(sK2,sK3,sK0,sK1)),
inference(unit_resulting_resolution,[],[f227,f474]) ).
fof(f1087,plain,
$false,
inference(unit_resulting_resolution,[],[f430,f366,f557,f558,f364,f471,f559,f477,f475,f472,f476,f480,f560]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO514+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n018.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 08:25:53 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.47 Running first-order theorem proving
% 0.14/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.18/1.86 % (2023125)Detected formulas, will run a generic FOF schedule.
% 6.18/1.86 % (2023134)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=394873851:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.18/1.86 % (2023134)Instruction limit reached!
% 6.18/1.86 % (2023134)------------------------------
% 6.18/1.86 % (2023134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.86 % (2023134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.86 % (2023134)CaDiCaL version: 2.1.3
% 6.18/1.86 % (2023134)Termination reason: Instruction limit
% 6.18/1.86 % (2023134)Termination phase: Saturation
% 6.18/1.86 % (2023134)Time elapsed: 0.041 s
% 6.18/1.86 % (2023134)Peak memory usage: 88 MB
% 6.18/1.86 % (2023134)Instructions burned: 120 (million)
% 6.18/1.86 % (2023135)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3219154310:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.18/1.86 % (2023132)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=685939302:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.18/1.86 % (2023136)dis-21_1_sil=8000:lcm=predicate:random_seed=4236264962:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.18/1.86 % (2023133)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1259540799:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.18/1.86 % (2023130)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1127420771:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.18/1.86 % (2023131)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=617285631:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.18/1.86 % (2023133)Refutation not found, incomplete strategy
% 6.18/1.86 % (2023133)------------------------------
% 6.18/1.86 % (2023133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.86 % (2023133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.86 % (2023133)CaDiCaL version: 2.1.3
% 6.18/1.86 % (2023133)Termination reason: Refutation not found, incomplete strategy
% 6.18/1.86 % (2023133)Time elapsed: 0.002 s
% 6.18/1.86 % (2023133)Peak memory usage: 88 MB
% 6.18/1.86 % (2023136)Instruction limit reached!
% 6.18/1.86 % (2023136)------------------------------
% 6.18/1.86 % (2023136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.86 % (2023136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.86 % (2023136)CaDiCaL version: 2.1.3
% 6.18/1.86 % (2023136)Termination reason: Instruction limit
% 6.18/1.86 % (2023136)Termination phase: Saturation
% 6.18/1.86 % (2023136)Time elapsed: 0.115 s
% 6.18/1.86 % (2023136)Peak memory usage: 89 MB
% 6.18/1.86 % (2023136)Instructions burned: 129 (million)
% 6.18/1.86 % (2023138)lrs+10_1_sil=8000:sp=occurrence:random_seed=1873567822:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.18/1.86 % (2023135)Instruction limit reached!
% 6.18/1.86 % (2023135)------------------------------
% 6.18/1.86 % (2023135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.86 % (2023135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.86 % (2023135)CaDiCaL version: 2.1.3
% 6.18/1.86 % (2023135)Termination reason: Instruction limit
% 6.18/1.86 % (2023135)Termination phase: Saturation
% 6.18/1.86 % (2023135)Time elapsed: 0.144 s
% 6.18/1.86 % (2023135)Peak memory usage: 89 MB
% 6.18/1.86 % (2023135)Instructions burned: 139 (million)
% 6.18/1.86 % (2023138)Instruction limit reached!
% 6.18/1.86 % (2023138)------------------------------
% 6.18/1.86 % (2023138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/1.86 % (2023138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.86 % (2023138)CaDiCaL version: 2.1.3
% 6.18/1.86 % (2023138)Termination reason: Instruction limit
% 6.18/1.86 % (2023138)Termination phase: Saturation
% 6.18/1.86 % (2023138)Time elapsed: 0.133 s
% 6.18/1.86 % (2023138)Peak memory usage: 90 MB
% 6.18/1.86 % (2023138)Instructions burned: 286 (million)
% 6.18/1.86 % (2023133)------------------------------
% 6.18/1.86 % (2023133)------------------------------
% 8.34/2.05 % (2023145)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2759495787:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 8.34/2.05 % (2023147)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3828585615:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 8.34/2.05 % (2023145)Refutation not found, incomplete strategy
% 8.34/2.05 % (2023145)------------------------------
% 8.34/2.05 % (2023145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.05 % (2023145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.05 % (2023145)CaDiCaL version: 2.1.3
% 8.34/2.05 % (2023145)Termination reason: Refutation not found, incomplete strategy
% 8.34/2.05 % (2023145)Time elapsed: 0.032 s
% 8.34/2.05 % (2023145)Peak memory usage: 89 MB
% 8.34/2.05 % (2023145)Instructions burned: 35 (million)
% 8.34/2.05 % (2023148)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=170820406:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 8.34/2.05 % (2023148)First to succeed.
% 8.34/2.05 % (2023148)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2023125"
% 8.34/2.05 % (2023150)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2418369526:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 8.34/2.05 % (2023147)Instruction limit reached!
% 8.34/2.05 % (2023147)------------------------------
% 8.34/2.05 % (2023147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.05 % (2023147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.05 % (2023147)CaDiCaL version: 2.1.3
% 8.34/2.05 % (2023147)Termination reason: Instruction limit
% 8.34/2.05 % (2023147)Termination phase: Saturation
% 8.34/2.05 % (2023147)Time elapsed: 0.312 s
% 8.34/2.05 % (2023147)Peak memory usage: 91 MB
% 8.34/2.05 % (2023147)Instructions burned: 326 (million)
% 8.34/2.05 % (2023150)Instruction limit reached!
% 8.34/2.05 % (2023150)------------------------------
% 8.34/2.05 % (2023150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.05 % (2023150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.05 % (2023150)CaDiCaL version: 2.1.3
% 8.34/2.05 % (2023150)Termination reason: Instruction limit
% 8.34/2.05 % (2023150)Termination phase: Saturation
% 8.34/2.05 % (2023150)Time elapsed: 0.205 s
% 8.34/2.05 % (2023150)Peak memory usage: 89 MB
% 8.34/2.05 % (2023150)Instructions burned: 294 (million)
% 8.34/2.05 % (2023145)------------------------------
% 8.34/2.05 % (2023145)------------------------------
% 8.34/2.05 % (2023148)Refutation found. Thanks to Tanya!
% 8.34/2.05 % SZS status Theorem for theBenchmark
% 8.34/2.05 % SZS output start Proof for theBenchmark
% See solution above
% 8.34/2.05 % (2023148)------------------------------
% 8.34/2.05 % (2023148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.05 % (2023148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.05 % (2023148)CaDiCaL version: 2.1.3
% 8.34/2.05 % (2023148)Termination reason: Refutation
% 8.34/2.05 % (2023148)Time elapsed: 0.042 s
% 8.34/2.05 % (2023148)Peak memory usage: 89 MB
% 8.34/2.05 % (2023148)Instructions burned: 93 (million)
% 8.34/2.05 % (2023148)------------------------------
% 8.34/2.05 % (2023148)------------------------------
% 8.34/2.05 % (2023125)Success in time 1.112 s
% 8.34/2.05 % Vampire exiting
%------------------------------------------------------------------------------