%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO040-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 5.09s 1.67s
% Output : Refutation 5.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 17 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 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 : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',inner_pasch2) ).
fof(f55,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f56,axiom,
between(v,u,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_between_v_and_w) ).
fof(f57,negated_conjecture,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_u_is_v) ).
fof(f70,plain,
between(u,inner_pasch(v,u,w,v,u),u),
inference(unit_resulting_resolution,[],[f8,f56,f55]) ).
fof(f74,plain,
between(v,inner_pasch(v,u,w,v,u),v),
inference(unit_resulting_resolution,[],[f9,f56,f55]) ).
fof(f169,plain,
u = inner_pasch(v,u,w,v,u),
inference(unit_resulting_resolution,[],[f7,f70]) ).
fof(f171,plain,
v = inner_pasch(v,u,w,v,u),
inference(unit_resulting_resolution,[],[f7,f74]) ).
fof(f173,plain,
u = v,
inference(forward_demodulation,[],[f171,f169]) ).
fof(f175,plain,
$false,
inference(forward_subsumption_resolution,[],[f173,f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO040-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 06:40:41 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 5.09/1.67 % (2637058)Input is clausal, will run a generic CNF schedule.
% 5.09/1.67 % (2637064)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2411581588:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.09/1.67 % (2637063)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=4068570430:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.09/1.67 % (2637068)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1088640522:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.09/1.67 % (2637069)dis-21_1_sil=8000:lcm=predicate:random_seed=1794699307: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)
% 5.09/1.67 % (2637067)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1220318452:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.09/1.67 % (2637065)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2808653483:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.09/1.67 % (2637066)lrs+10_1_sil=8000:sp=occurrence:random_seed=440273984:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.09/1.67 % (2637066)Refutation not found, incomplete strategy
% 5.09/1.67 % (2637066)------------------------------
% 5.09/1.67 % (2637066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.67 % (2637066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.67 % (2637066)CaDiCaL version: 2.1.3
% 5.09/1.67 % (2637066)Termination reason: Refutation not found, incomplete strategy
% 5.09/1.67 % (2637066)Time elapsed: 0.003 s
% 5.09/1.67 % (2637066)Peak memory usage: 88 MB
% 5.09/1.67 % (2637066)Instructions burned: 3 (million)
% 5.09/1.67 % (2637067)Instruction limit reached!
% 5.09/1.67 % (2637067)------------------------------
% 5.09/1.67 % (2637067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.67 % (2637067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.67 % (2637067)CaDiCaL version: 2.1.3
% 5.09/1.67 % (2637067)Termination reason: Instruction limit
% 5.09/1.67 % (2637067)Termination phase: Saturation
% 5.09/1.67 % (2637067)Time elapsed: 0.058 s
% 5.09/1.67 % (2637067)Peak memory usage: 88 MB
% 5.09/1.67 % (2637067)Instructions burned: 114 (million)
% 5.09/1.67 % (2637069)Instruction limit reached!
% 5.09/1.67 % (2637069)------------------------------
% 5.09/1.67 % (2637069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.67 % (2637069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.67 % (2637069)CaDiCaL version: 2.1.3
% 5.09/1.67 % (2637069)Termination reason: Instruction limit
% 5.09/1.67 % (2637069)Termination phase: Saturation
% 5.09/1.67 % (2637069)Time elapsed: 0.066 s
% 5.09/1.67 % (2637069)Peak memory usage: 88 MB
% 5.09/1.67 % (2637069)Instructions burned: 117 (million)
% 5.09/1.67 % (2637068)Instruction limit reached!
% 5.09/1.67 % (2637068)------------------------------
% 5.09/1.67 % (2637068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.67 % (2637068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.67 % (2637068)CaDiCaL version: 2.1.3
% 5.09/1.67 % (2637068)Termination reason: Instruction limit
% 5.09/1.67 % (2637068)Termination phase: Saturation
% 5.09/1.67 % (2637068)Time elapsed: 0.106 s
% 5.09/1.67 % (2637068)Peak memory usage: 89 MB
% 5.09/1.67 % (2637068)Instructions burned: 182 (million)
% 5.09/1.67 % (2637078)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3637308514:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 5.09/1.67 % (2637077)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=2279731047:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.09/1.67 % (2637077)Refutation not found, incomplete strategy
% 5.09/1.67 % (2637077)------------------------------
% 5.09/1.67 % (2637077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.67 % (2637077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.67 % (2637077)CaDiCaL version: 2.1.3
% 5.09/1.67 % (2637077)Termination reason: Refutation not found, incomplete strategy
% 5.09/1.67 % (2637077)Time elapsed: 0.001 s
% 5.09/1.67 % (2637077)Peak memory usage: 88 MB
% 5.09/1.67 % (2637077)Instructions burned: 1 (million)
% 5.09/1.67 % (2637066)------------------------------
% 5.09/1.67 % (2637066)------------------------------
% 5.09/1.67 % (2637079)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1972932706:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.09/1.67 % (2637079)Refutation not found, incomplete strategy
% 5.09/1.67 % (2637079)------------------------------
% 5.09/1.67 % (2637079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.67 % (2637079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.67 % (2637079)CaDiCaL version: 2.1.3
% 5.09/1.67 % (2637079)Termination reason: Refutation not found, incomplete strategy
% 5.09/1.67 % (2637079)Time elapsed: 0.001 s
% 5.09/1.67 % (2637079)Peak memory usage: 88 MB
% 5.09/1.67 % (2637079)Instructions burned: 1 (million)
% 5.09/1.67 % (2637078)Instruction limit reached!
% 5.09/1.67 % (2637078)------------------------------
% 5.09/1.67 % (2637078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.67 % (2637078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.67 % (2637078)CaDiCaL version: 2.1.3
% 5.09/1.67 % (2637078)Termination reason: Instruction limit
% 5.09/1.67 % (2637078)Termination phase: Saturation
% 5.09/1.67 % (2637078)Time elapsed: 0.097 s
% 5.09/1.67 % (2637078)Peak memory usage: 89 MB
% 5.09/1.67 % (2637078)Instructions burned: 190 (million)
% 5.09/1.67 % (2637064)First to succeed.
% 5.09/1.67 % (2637064)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2637058"
% 5.09/1.67 % (2637083)lrs+10_64_to=lpo:sil=8000:random_seed=2120307913:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.09/1.67 % (2637084)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3024967811:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.09/1.67 % (2637083)Also succeeded, but the first one will report.
% 5.09/1.67 % (2637077)------------------------------
% 5.09/1.67 % (2637077)------------------------------
% 5.09/1.67 % (2637084)Also succeeded, but the first one will report.
% 5.09/1.67 % (2637064)Refutation found. Thanks to Tanya!
% 5.09/1.67 % SZS status Unsatisfiable for theBenchmark
% 5.09/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 5.09/1.67 % (2637064)------------------------------
% 5.09/1.67 % (2637064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/1.67 % (2637064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.67 % (2637064)CaDiCaL version: 2.1.3
% 5.09/1.67 % (2637064)Termination reason: Refutation
% 5.09/1.67 % (2637064)Time elapsed: 0.375 s
% 5.09/1.67 % (2637064)Peak memory usage: 128 MB
% 5.09/1.67 % (2637064)Instructions burned: 938 (million)
% 5.09/1.67 % (2637064)------------------------------
% 5.09/1.67 % (2637064)------------------------------
% 5.09/1.67 % (2637058)Success in time 0.641 s
% 5.09/1.67 % Vampire exiting
%------------------------------------------------------------------------------