%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN646-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 02:01:09 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.31s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 42 ( 25 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-1 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
fof(f7,negated_conjecture,
~ p21(f17(c25),f17(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p21_7) ).
fof(f9,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
fof(f10,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
fof(f12,negated_conjecture,
p20(f14(f11(c25)),f14(f11(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_12) ).
fof(f14,negated_conjecture,
p2(f13(f11(c23)),f13(f11(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
fof(f28,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).
fof(f35,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_35) ).
fof(f36,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_36) ).
fof(f40,negated_conjecture,
! [X0,X1] :
( ~ p20(f14(f11(X0)),f14(f11(X1)))
| ~ p2(f12(f11(X0)),f7(c24))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f13(f11(X0)),f13(f11(X1)))
| p21(f17(X0),f17(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_40) ).
fof(f46,plain,
( ~ p2(f12(f11(c25)),f7(c24))
| ~ p2(f12(f11(c22)),f7(c24))
| ~ p2(f13(f11(c25)),f13(f11(c22)))
| p21(f17(c25),f17(c22)) ),
inference(resolution,[],[f40,f12]) ).
fof(f48,plain,
( ~ p2(f12(f11(c22)),f7(c24))
| ~ p2(f13(f11(c25)),f13(f11(c22)))
| p21(f17(c25),f17(c22)) ),
inference(forward_subsumption_resolution,[],[f46,f10]) ).
fof(f49,plain,
( ~ p2(f13(f11(c25)),f13(f11(c22)))
| p21(f17(c25),f17(c22)) ),
inference(forward_subsumption_resolution,[],[f48,f9]) ).
fof(f50,plain,
~ p2(f13(f11(c25)),f13(f11(c22))),
inference(forward_subsumption_resolution,[],[f49,f7]) ).
fof(f52,plain,
! [X0] :
( ~ p2(X0,f13(f11(c25)))
| ~ p2(X0,f13(f11(c22))) ),
inference(resolution,[],[f50,f28]) ).
fof(f71,plain,
! [X0,X1] :
( ~ p2(X1,f13(f11(c25)))
| ~ p2(X1,X0)
| ~ p2(X0,f13(f11(c22))) ),
inference(resolution,[],[f52,f28]) ).
fof(f98,plain,
! [X0] :
( ~ p2(f13(f11(c25)),X0)
| ~ p2(X0,f13(f11(c22))) ),
inference(resolution,[],[f71,f5]) ).
fof(f107,plain,
~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22))),
inference(resolution,[],[f98,f36]) ).
fof(f523,plain,
! [X0] :
( ~ p2(X0,f13(f11(c22)))
| ~ p2(X0,f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ),
inference(resolution,[],[f107,f28]) ).
fof(f1131,plain,
~ p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(resolution,[],[f523,f14]) ).
fof(f1133,plain,
$false,
inference(forward_subsumption_resolution,[],[f1131,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN646-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n004.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 16:39:23 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 0.19/1.31 % (507194)Input is clausal, will run a generic CNF schedule.
% 0.19/1.31 % (507203)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1781648947:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.31 % (507204)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2619347978:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.31 % (507202)lrs+10_1_sil=8000:sp=occurrence:random_seed=781589307:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.31 % (507200)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=722665449:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.31 % (507199)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=579761746:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.31 % (507205)dis-21_1_sil=8000:lcm=predicate:random_seed=1840658128: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)
% 0.19/1.31 % (507201)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3562308101:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.31 % (507203)Instruction limit reached!
% 0.19/1.31 % (507203)------------------------------
% 0.19/1.31 % (507203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.31 % (507203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.31 % (507203)CaDiCaL version: 2.1.3
% 0.19/1.31 % (507203)Termination reason: Instruction limit
% 0.19/1.31 % (507203)Termination phase: Saturation
% 0.19/1.31 % (507203)Time elapsed: 0.042 s
% 0.19/1.31 % (507203)Peak memory usage: 88 MB
% 0.19/1.31 % (507203)Instructions burned: 117 (million)
% 0.19/1.31 % (507204)First to succeed.
% 0.19/1.31 % (507204)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-507194"
% 0.19/1.31 % (507202)Instruction limit reached!
% 0.19/1.31 % (507202)------------------------------
% 0.19/1.31 % (507202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.31 % (507202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.31 % (507202)CaDiCaL version: 2.1.3
% 0.19/1.31 % (507202)Termination reason: Instruction limit
% 0.19/1.31 % (507202)Termination phase: Saturation
% 0.19/1.31 % (507202)Time elapsed: 0.062 s
% 0.19/1.31 % (507202)Peak memory usage: 89 MB
% 0.19/1.31 % (507202)Instructions burned: 107 (million)
% 0.19/1.31 % (507205)Instruction limit reached!
% 0.19/1.31 % (507205)------------------------------
% 0.19/1.31 % (507205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.31 % (507205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.31 % (507205)CaDiCaL version: 2.1.3
% 0.19/1.31 % (507205)Termination reason: Instruction limit
% 0.19/1.31 % (507205)Termination phase: Saturation
% 0.19/1.31 % (507205)Time elapsed: 0.073 s
% 0.19/1.31 % (507205)Peak memory usage: 88 MB
% 0.19/1.31 % (507205)Instructions burned: 117 (million)
% 0.19/1.31 % (507213)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=2630400160:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.19/1.31 % (507213)Instruction limit reached!
% 0.19/1.31 % (507213)------------------------------
% 0.19/1.31 % (507213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.31 % (507213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.31 % (507213)CaDiCaL version: 2.1.3
% 0.19/1.31 % (507213)Termination reason: Instruction limit
% 0.19/1.31 % (507213)Termination phase: Saturation
% 0.19/1.31 % (507213)Time elapsed: 0.047 s
% 0.19/1.31 % (507213)Peak memory usage: 89 MB
% 0.19/1.31 % (507213)Instructions burned: 144 (million)
% 0.19/1.31 % (507214)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2975678429: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)
% 0.19/1.31 % (507215)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=317496732:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.19/1.31 % (507217)lrs+10_64_to=lpo:sil=8000:random_seed=1528151884:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 0.19/1.31 % (507214)Also succeeded, but the first one will report.
% 0.19/1.31 % (507217)Instruction limit reached!
% 0.19/1.31 % (507217)------------------------------
% 0.19/1.31 % (507217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.31 % (507217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.31 % (507217)CaDiCaL version: 2.1.3
% 0.19/1.31 % (507217)Termination reason: Instruction limit
% 0.19/1.31 % (507217)Termination phase: Saturation
% 0.19/1.31 % (507217)Time elapsed: 0.036 s
% 0.19/1.31 % (507217)Peak memory usage: 89 MB
% 0.19/1.31 % (507217)Instructions burned: 129 (million)
% 0.19/1.31 % (507204)Refutation found. Thanks to Tanya!
% 0.19/1.31 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.31 % (507204)------------------------------
% 0.19/1.31 % (507204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.31 % (507204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.31 % (507204)CaDiCaL version: 2.1.3
% 0.19/1.31 % (507204)Termination reason: Refutation
% 0.19/1.31 % (507204)Time elapsed: 0.042 s
% 0.19/1.31 % (507204)Peak memory usage: 89 MB
% 0.19/1.31 % (507204)Instructions burned: 63 (million)
% 0.19/1.31 % (507204)------------------------------
% 0.19/1.31 % (507204)------------------------------
% 0.19/1.31 % (507194)Success in time 0.443 s
% 0.19/1.31 % Vampire exiting
%------------------------------------------------------------------------------