%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN088-1.010 : 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 : n002.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 01:49:38 PM UTC 2026
% Result : Unsatisfiable 2.72s 1.16s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 121 ( 66 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-10 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ p(a,a,a,a,a,a,a,a,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_goal_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( p(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ q_1(X0)
| ~ q_2(X1)
| ~ q_3(X2)
| ~ q_4(X3)
| ~ q_5(X4)
| ~ q_6(X5)
| ~ q_7(X6)
| ~ q_8(X7)
| ~ q_9(X8)
| ~ q_10(X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_1) ).
fof(f3,axiom,
q_1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_2) ).
fof(f5,axiom,
q_2(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_4) ).
fof(f7,axiom,
q_3(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_6) ).
fof(f9,axiom,
q_4(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_8) ).
fof(f11,axiom,
q_5(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_10) ).
fof(f13,axiom,
q_6(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_12) ).
fof(f15,axiom,
q_7(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_14) ).
fof(f17,axiom,
q_8(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_16) ).
fof(f19,axiom,
q_9(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_18) ).
fof(f21,axiom,
q_10(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_20) ).
fof(f23,plain,
( ~ q_1(a)
| ~ q_2(a)
| ~ q_3(a)
| ~ q_4(a)
| ~ q_5(a)
| ~ q_6(a)
| ~ q_7(a)
| ~ q_8(a)
| ~ q_9(a)
| ~ q_10(a) ),
inference(resolution,[],[f2,f1]) ).
fof(f24,plain,
( ~ q_2(a)
| ~ q_3(a)
| ~ q_4(a)
| ~ q_5(a)
| ~ q_6(a)
| ~ q_7(a)
| ~ q_8(a)
| ~ q_9(a)
| ~ q_10(a) ),
inference(forward_subsumption_resolution,[],[f23,f3]) ).
fof(f25,plain,
( ~ q_3(a)
| ~ q_4(a)
| ~ q_5(a)
| ~ q_6(a)
| ~ q_7(a)
| ~ q_8(a)
| ~ q_9(a)
| ~ q_10(a) ),
inference(forward_subsumption_resolution,[],[f24,f5]) ).
fof(f26,plain,
( ~ q_4(a)
| ~ q_5(a)
| ~ q_6(a)
| ~ q_7(a)
| ~ q_8(a)
| ~ q_9(a)
| ~ q_10(a) ),
inference(forward_subsumption_resolution,[],[f25,f7]) ).
fof(f27,plain,
( ~ q_5(a)
| ~ q_6(a)
| ~ q_7(a)
| ~ q_8(a)
| ~ q_9(a)
| ~ q_10(a) ),
inference(forward_subsumption_resolution,[],[f26,f9]) ).
fof(f28,plain,
( ~ q_6(a)
| ~ q_7(a)
| ~ q_8(a)
| ~ q_9(a)
| ~ q_10(a) ),
inference(forward_subsumption_resolution,[],[f27,f11]) ).
fof(f29,plain,
( ~ q_7(a)
| ~ q_8(a)
| ~ q_9(a)
| ~ q_10(a) ),
inference(forward_subsumption_resolution,[],[f28,f13]) ).
fof(f30,plain,
( ~ q_8(a)
| ~ q_9(a)
| ~ q_10(a) ),
inference(forward_subsumption_resolution,[],[f29,f15]) ).
fof(f31,plain,
( ~ q_9(a)
| ~ q_10(a) ),
inference(forward_subsumption_resolution,[],[f30,f17]) ).
fof(f32,plain,
~ q_10(a),
inference(forward_subsumption_resolution,[],[f31,f19]) ).
fof(f33,plain,
$false,
inference(forward_subsumption_resolution,[],[f32,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN088-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n002.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 15:36:22 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 2.72/1.16 % (456894)Input is clausal, will run a generic CNF schedule.
% 2.72/1.16 % (457031)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1985329167:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.72/1.16 % (457031)First to succeed.
% 2.72/1.16 % (457031)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-456894"
% 2.72/1.16 % (457033)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2184398:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.72/1.16 % (457026)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=2360993495:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.72/1.16 % (457034)dis-21_1_sil=8000:lcm=predicate:random_seed=3853504139: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)
% 2.72/1.16 % (457030)lrs+10_1_sil=8000:sp=occurrence:random_seed=2867296159:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.72/1.16 % (457028)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=29874711:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.72/1.16 % (457027)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2696991529:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.72/1.16 % (457030)Also succeeded, but the first one will report.
% 2.72/1.16 % (457033)Also succeeded, but the first one will report.
% 2.72/1.16 % (457034)Also succeeded, but the first one will report.
% 2.72/1.16 % (457031)Refutation found. Thanks to Tanya!
% 2.72/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.72/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.16 % (457031)------------------------------
% 2.72/1.16 % (457031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.16 % (457031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.16 % (457031)CaDiCaL version: 2.1.3
% 2.72/1.16 % (457031)Termination reason: Refutation
% 2.72/1.16 % (457031)Time elapsed: 0.001 s
% 2.72/1.16 % (457031)Peak memory usage: 88 MB
% 2.72/1.16 % (457031)Instructions burned: 1 (million)
% 2.72/1.16 % (457031)------------------------------
% 2.72/1.16 % (457031)------------------------------
% 2.72/1.16 % (456894)Success in time 0.281 s
% 2.72/1.16 % Vampire exiting
%------------------------------------------------------------------------------