%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN672-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 02:01:13 PM UTC 2026
% Result : Unsatisfiable 2.48s 1.11s
% Output : Refutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 46 ( 27 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p8(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).
fof(f6,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).
fof(f18,negated_conjecture,
~ p3(c40,f14(c38,c39)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_18) ).
fof(f19,negated_conjecture,
p31(f20(c36,c39),f17(c37,c40)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_19) ).
fof(f37,negated_conjecture,
! [X0,X1] : p3(f4(f7(c34,X0),f14(c38,X1)),f14(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_37) ).
fof(f39,negated_conjecture,
! [X2,X3,X0,X1] :
( p30(X0,X1)
| ~ p30(X2,X3)
| ~ p9(X2,X0)
| ~ p3(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30_39) ).
fof(f40,negated_conjecture,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p30_40) ).
fof(f42,negated_conjecture,
! [X2,X3,X0,X1] :
( p9(f10(X0,X1),f10(X2,X3))
| ~ p3(X1,X3)
| ~ p8(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_42) ).
fof(f53,negated_conjecture,
! [X0,X1] :
( p30(f10(f12(c32,c33),f14(c38,X1)),X0)
| p3(X0,f14(c38,X1))
| ~ p31(f20(c36,X1),f17(c37,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_53) ).
fof(f54,negated_conjecture,
! [X0,X1] :
( p30(f10(f12(c32,c33),f4(f7(c34,c35),X0)),f4(f7(c34,c35),X1))
| ~ p30(f10(f12(c32,c33),X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30_54) ).
fof(f65,plain,
! [X0,X1] :
( ~ p9(X0,f10(f12(c32,c33),f14(c35,c39)))
| ~ p30(X0,X1)
| ~ p3(X1,f4(f7(c34,c35),c40)) ),
inference(resolution,[],[f40,f39]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ p3(X2,f4(f7(c34,c35),c40))
| ~ p30(f10(X0,X1),X2)
| ~ p3(X1,f14(c35,c39))
| ~ p8(X0,f12(c32,c33)) ),
inference(resolution,[],[f65,f42]) ).
fof(f117,plain,
! [X0,X1] :
( ~ p30(f10(X0,X1),f4(f7(c34,c35),c40))
| ~ p3(X1,f14(c35,c39))
| ~ p8(X0,f12(c32,c33)) ),
inference(resolution,[],[f100,f6]) ).
fof(f126,plain,
! [X0] :
( ~ p3(f4(f7(c34,c35),X0),f14(c35,c39))
| ~ p8(f12(c32,c33),f12(c32,c33))
| ~ p30(f10(f12(c32,c33),X0),c40) ),
inference(resolution,[],[f117,f54]) ).
fof(f130,plain,
! [X0] :
( ~ p3(f4(f7(c34,c35),X0),f14(c35,c39))
| ~ p30(f10(f12(c32,c33),X0),c40) ),
inference(forward_subsumption_resolution,[],[f126,f3]) ).
fof(f165,plain,
~ p30(f10(f12(c32,c33),f14(c38,c39)),c40),
inference(resolution,[],[f130,f37]) ).
fof(f167,plain,
( p3(c40,f14(c38,c39))
| ~ p31(f20(c36,c39),f17(c37,c40)) ),
inference(resolution,[],[f165,f53]) ).
fof(f169,plain,
~ p31(f20(c36,c39),f17(c37,c40)),
inference(forward_subsumption_resolution,[],[f167,f18]) ).
fof(f170,plain,
$false,
inference(forward_subsumption_resolution,[],[f169,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN672-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:40:32 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 2.48/1.11 % (920085)Input is clausal, will run a generic CNF schedule.
% 2.48/1.11 % (920094)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3710708152:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.48/1.11 % (920094)First to succeed.
% 2.48/1.11 % (920094)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-920085"
% 2.48/1.11 % (920092)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4084906729:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.48/1.11 % (920091)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1213490138:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.48/1.11 % (920090)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=1103532096:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.48/1.11 % (920093)lrs+10_1_sil=8000:sp=occurrence:random_seed=3972891309:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.48/1.11 % (920096)dis-21_1_sil=8000:lcm=predicate:random_seed=3787984585: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)
% 2.48/1.11 % (920095)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2253000003:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.48/1.11 % (920095)Also succeeded, but the first one will report.
% 2.48/1.11 % (920093)Instruction limit reached!
% 2.48/1.11 % (920093)------------------------------
% 2.48/1.11 % (920093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.11 % (920093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.11 % (920093)CaDiCaL version: 2.1.3
% 2.48/1.11 % (920093)Termination reason: Instruction limit
% 2.48/1.11 % (920093)Termination phase: Saturation
% 2.48/1.11 % (920093)Time elapsed: 0.068 s
% 2.48/1.11 % (920093)Peak memory usage: 88 MB
% 2.48/1.11 % (920093)Instructions burned: 109 (million)
% 2.48/1.11 % (920096)Instruction limit reached!
% 2.48/1.11 % (920096)------------------------------
% 2.48/1.11 % (920096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.11 % (920096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.11 % (920096)CaDiCaL version: 2.1.3
% 2.48/1.11 % (920096)Termination reason: Instruction limit
% 2.48/1.11 % (920096)Termination phase: Saturation
% 2.48/1.11 % (920096)Time elapsed: 0.072 s
% 2.48/1.11 % (920096)Peak memory usage: 88 MB
% 2.48/1.11 % (920096)Instructions burned: 118 (million)
% 2.48/1.11 % (920094)Refutation found. Thanks to Tanya!
% 2.48/1.11 % SZS status Unsatisfiable for theBenchmark
% 2.48/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 2.48/1.11 % (920094)------------------------------
% 2.48/1.11 % (920094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.11 % (920094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.11 % (920094)CaDiCaL version: 2.1.3
% 2.48/1.11 % (920094)Termination reason: Refutation
% 2.48/1.11 % (920094)Time elapsed: 0.003 s
% 2.48/1.11 % (920094)Peak memory usage: 88 MB
% 2.48/1.11 % (920094)Instructions burned: 7 (million)
% 2.48/1.11 % (920094)------------------------------
% 2.48/1.11 % (920094)------------------------------
% 2.48/1.11 % (920085)Success in time 0.271 s
% 2.48/1.11 % Vampire exiting
%------------------------------------------------------------------------------