%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n019.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 02:06:44 PM UTC 2026
% Result : Unsatisfiable 0.29s 0.26s
% Output : Refutation 0.29s
% 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 SAT
% 0.09/0.19 % Computer : n019.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:33:48 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/0.26 % (4093295)Will run a generic schedule for satisfiability detection.
% 0.29/0.26 % (4093303)dis+10_1_sil=32000:sp=arity:random_seed=692142228:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.29/0.26 % (4093303) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4093295-4093303"...
% 0.29/0.26 % (4093303)...printing done.
% 0.29/0.26 % (4093303)Refutation found. Thanks to Tanya!
% 0.29/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.29/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.29/0.26 % (4093303)------------------------------
% 0.29/0.26 % (4093303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.26 % (4093303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.26 % (4093303)CaDiCaL version: 2.1.3
% 0.29/0.26 % (4093303)Termination reason: Refutation
% 0.29/0.26 % (4093303)Time elapsed: 0.001 s
% 0.29/0.26 % (4093303)Peak memory usage: 11 MB
% 0.29/0.26 % (4093303)Instructions burned: 1 (million)
% 0.29/0.26 % (4093295)Success in time 0.026 s
% 0.29/0.26 % Vampire exiting
%------------------------------------------------------------------------------