%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO040-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 09:51:18 AM UTC 2026
% Result : Unsatisfiable 2.05s 0.89s
% Output : Refutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 29 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-5 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( between(X1,inner_pasch(X0,X1,X2,X4,X3),X3)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch2) ).
fof(f19,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f20,axiom,
between(v,u,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_between_v_and_w) ).
fof(f21,negated_conjecture,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_u_is_v) ).
fof(f35,plain,
! [X2,X3,X0,X1] :
( inner_pasch(X3,X0,X2,X1,X0) = X0
| ~ between(X3,X0,X2)
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f8,f7]) ).
fof(f38,plain,
! [X2,X3,X0,X1] :
( inner_pasch(X1,X3,X2,X1,X0) = X1
| ~ between(X1,X3,X2)
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f9,f7]) ).
fof(f93,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ between(X0,X1,X2)
| ~ between(X1,X0,X2)
| ~ between(X0,X1,X2)
| ~ between(X1,X0,X2) ),
inference(superposition,[],[f35,f38]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(X1,X0,X2) ),
inference(duplicate_literal_removal,[],[f93]) ).
fof(f268,plain,
( u = v
| ~ between(u,v,w) ),
inference(resolution,[],[f94,f20]) ).
fof(f270,plain,
~ between(u,v,w),
inference(forward_subsumption_resolution,[],[f268,f21]) ).
fof(f272,plain,
$false,
inference(forward_subsumption_resolution,[],[f270,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO040-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 06:40:50 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.05/0.89 % (2015589)Input is clausal, will run a generic CNF schedule.
% 2.05/0.89 % (2015595)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4272049460:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.05/0.89 % (2015596)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3853956489:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.05/0.89 % (2015599)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3073030790:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.05/0.89 % (2015598)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2861416590:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.05/0.89 % (2015597)lrs+10_1_sil=8000:sp=occurrence:random_seed=1169262659:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.05/0.89 % (2015594)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=3751024521:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.05/0.89 % (2015600)dis-21_1_sil=8000:lcm=predicate:random_seed=1248071788:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.05/0.89 % (2015599)First to succeed.
% 2.05/0.89 % (2015599)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2015589"
% 2.05/0.89 % (2015598)Instruction limit reached!
% 2.05/0.89 % (2015598)------------------------------
% 2.05/0.89 % (2015598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.05/0.89 % (2015598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.89 % (2015598)CaDiCaL version: 2.1.3
% 2.05/0.89 % (2015598)Termination reason: Instruction limit
% 2.05/0.89 % (2015598)Termination phase: Saturation
% 2.05/0.89 % (2015598)Time elapsed: 0.033 s
% 2.05/0.89 % (2015598)Peak memory usage: 88 MB
% 2.05/0.89 % (2015598)Instructions burned: 115 (million)
% 2.05/0.89 % (2015597)Instruction limit reached!
% 2.05/0.89 % (2015597)------------------------------
% 2.05/0.89 % (2015597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.05/0.89 % (2015597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.89 % (2015597)CaDiCaL version: 2.1.3
% 2.05/0.89 % (2015597)Termination reason: Instruction limit
% 2.05/0.89 % (2015597)Termination phase: Saturation
% 2.05/0.89 % (2015597)Time elapsed: 0.036 s
% 2.05/0.89 % (2015597)Peak memory usage: 88 MB
% 2.05/0.89 % (2015597)Instructions burned: 107 (million)
% 2.05/0.89 % (2015600)Instruction limit reached!
% 2.05/0.89 % (2015600)------------------------------
% 2.05/0.89 % (2015600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.05/0.89 % (2015600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.89 % (2015600)CaDiCaL version: 2.1.3
% 2.05/0.89 % (2015600)Termination reason: Instruction limit
% 2.05/0.89 % (2015600)Termination phase: Saturation
% 2.05/0.89 % (2015600)Time elapsed: 0.038 s
% 2.05/0.89 % (2015600)Peak memory usage: 88 MB
% 2.05/0.89 % (2015600)Instructions burned: 120 (million)
% 2.05/0.89 % (2015609)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1777832783:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 2.05/0.89 % (2015610)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3623032941:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 2.05/0.89 % (2015608)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4264660002:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.05/0.89 % (2015610)Refutation not found, incomplete strategy
% 2.05/0.89 % (2015610)------------------------------
% 2.05/0.89 % (2015610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.05/0.89 % (2015610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.89 % (2015610)CaDiCaL version: 2.1.3
% 2.05/0.89 % (2015610)Termination reason: Refutation not found, incomplete strategy
% 2.05/0.89 % (2015610)Time elapsed: 0.001 s
% 2.05/0.89 % (2015610)Peak memory usage: 87 MB
% 2.05/0.89 % (2015608)Refutation not found, incomplete strategy
% 2.05/0.89 % (2015608)------------------------------
% 2.05/0.89 % (2015608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.05/0.89 % (2015608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.89 % (2015608)CaDiCaL version: 2.1.3
% 2.05/0.89 % (2015608)Termination reason: Refutation not found, incomplete strategy
% 2.05/0.89 % (2015608)Time elapsed: 0.001 s
% 2.05/0.89 % (2015608)Peak memory usage: 87 MB
% 2.05/0.89 % (2015608)Instructions burned: 1 (million)
% 2.05/0.89 % (2015599)Refutation found. Thanks to Tanya!
% 2.05/0.89 % SZS status Unsatisfiable for theBenchmark
% 2.05/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 2.05/0.89 % (2015599)------------------------------
% 2.05/0.89 % (2015599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.05/0.89 % (2015599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.05/0.89 % (2015599)CaDiCaL version: 2.1.3
% 2.05/0.89 % (2015599)Termination reason: Refutation
% 2.05/0.89 % (2015599)Time elapsed: 0.009 s
% 2.05/0.89 % (2015599)Peak memory usage: 88 MB
% 2.05/0.89 % (2015599)Instructions burned: 24 (million)
% 2.05/0.89 % (2015599)------------------------------
% 2.05/0.89 % (2015599)------------------------------
% 2.05/0.89 % (2015589)Success in time 0.268 s
% 2.05/0.89 % Vampire exiting
%------------------------------------------------------------------------------