%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN099-1.003 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 02:06:46 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 46
% Syntax : Number of formulae : 82 ( 24 unt; 0 def)
% Number of atoms : 178 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 181 ( 85 ~; 96 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : ~ p_1_3(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_goal_1) ).
fof(f2,axiom,
! [X0] :
( p_1_2(X0)
| ~ p_2_2(X0)
| ~ p_1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type11_1) ).
fof(f3,axiom,
! [X0] :
( p_1_2(X0)
| ~ q_2_2(X0)
| ~ q_1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type11_2) ).
fof(f4,axiom,
! [X0] :
( p_1_3(X0)
| ~ p_2_3(X0)
| ~ p_1_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type11_3) ).
fof(f5,axiom,
! [X0] :
( p_1_3(X0)
| ~ q_2_3(X0)
| ~ q_1_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type11_4) ).
fof(f6,axiom,
! [X0] :
( p_2_3(X0)
| ~ p_3_3(X0)
| ~ p_2_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type11_5) ).
fof(f7,axiom,
! [X0] :
( p_2_3(X0)
| ~ q_3_3(X0)
| ~ q_2_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type11_6) ).
fof(f8,axiom,
! [X0] :
( q_1_2(X0)
| ~ p_2_2(X0)
| ~ q_1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type12_1) ).
fof(f9,axiom,
! [X0] :
( q_1_2(X0)
| ~ q_2_2(X0)
| ~ p_1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type12_2) ).
fof(f12,axiom,
! [X0] :
( q_2_3(X0)
| ~ p_3_3(X0)
| ~ q_2_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type12_5) ).
fof(f13,axiom,
! [X0] :
( q_2_3(X0)
| ~ q_3_3(X0)
| ~ p_2_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type12_6) ).
fof(f14,axiom,
! [X0] :
( p_1_1(X0)
| ~ p_1_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type21_1) ).
fof(f15,axiom,
! [X0] :
( q_1_1(X0)
| ~ q_1_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type21_2) ).
fof(f16,axiom,
! [X0] :
( p_2_2(X0)
| ~ p_1_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type22_1) ).
fof(f17,axiom,
! [X0] :
( p_3_3(X0)
| ~ p_2_3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type22_2) ).
fof(f18,axiom,
! [X0] :
( q_2_2(X0)
| ~ q_1_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type22_3) ).
fof(f19,axiom,
! [X0] :
( q_3_3(X0)
| ~ q_2_3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s2_type22_4) ).
fof(f20,axiom,
p_1_1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t2_1) ).
fof(f21,axiom,
q_1_1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t2_2) ).
fof(f22,axiom,
p_2_2(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t2_3) ).
fof(f23,axiom,
q_2_2(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t2_4) ).
fof(f24,axiom,
p_3_3(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t2_5) ).
fof(f25,axiom,
q_3_3(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t2_6) ).
fof(f26,axiom,
! [X0] : sym_p_1_3(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_goal_1) ).
fof(f27,axiom,
! [X0] :
( ~ sym_p_1_2(X0)
| sym_p_2_2(X0)
| sym_p_1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type11_1) ).
fof(f28,axiom,
! [X0] :
( ~ sym_p_1_2(X0)
| sym_q_2_2(X0)
| sym_q_1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type11_2) ).
fof(f29,axiom,
! [X0] :
( ~ sym_p_1_3(X0)
| sym_p_2_3(X0)
| sym_p_1_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type11_3) ).
fof(f30,axiom,
! [X0] :
( ~ sym_p_1_3(X0)
| sym_q_2_3(X0)
| sym_q_1_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type11_4) ).
fof(f31,axiom,
! [X0] :
( ~ sym_p_2_3(X0)
| sym_p_3_3(X0)
| sym_p_2_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type11_5) ).
fof(f32,axiom,
! [X0] :
( ~ sym_p_2_3(X0)
| sym_q_3_3(X0)
| sym_q_2_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type11_6) ).
fof(f33,axiom,
! [X0] :
( ~ sym_q_1_2(X0)
| sym_p_2_2(X0)
| sym_q_1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type12_1) ).
fof(f34,axiom,
! [X0] :
( ~ sym_q_1_2(X0)
| sym_q_2_2(X0)
| sym_p_1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type12_2) ).
fof(f37,axiom,
! [X0] :
( ~ sym_q_2_3(X0)
| sym_p_3_3(X0)
| sym_q_2_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type12_5) ).
fof(f38,axiom,
! [X0] :
( ~ sym_q_2_3(X0)
| sym_q_3_3(X0)
| sym_p_2_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type12_6) ).
fof(f39,axiom,
! [X0] :
( ~ sym_p_1_1(X0)
| sym_p_1_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type21_1) ).
fof(f40,axiom,
! [X0] :
( ~ sym_q_1_1(X0)
| sym_q_1_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type21_2) ).
fof(f41,axiom,
! [X0] :
( ~ sym_p_2_2(X0)
| sym_p_1_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type22_1) ).
fof(f42,axiom,
! [X0] :
( ~ sym_p_3_3(X0)
| sym_p_2_3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type22_2) ).
fof(f43,axiom,
! [X0] :
( ~ sym_q_2_2(X0)
| sym_q_1_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type22_3) ).
fof(f44,axiom,
! [X0] :
( ~ sym_q_3_3(X0)
| sym_q_2_3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s2_type22_4) ).
fof(f45,axiom,
~ sym_p_1_1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t2_1) ).
fof(f46,axiom,
~ sym_q_1_1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t2_2) ).
fof(f47,axiom,
~ sym_p_2_2(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t2_3) ).
fof(f48,axiom,
~ sym_q_2_2(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t2_4) ).
fof(f49,axiom,
~ sym_p_3_3(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t2_5) ).
fof(f50,axiom,
~ sym_q_3_3(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t2_6) ).
fof(f51,plain,
! [X0] : p_1_3(X0),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f52,plain,
! [X0] :
( p_1_2(X0)
| p_2_2(X0)
| ~ p_1_1(X0) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f53,plain,
! [X0] :
( p_1_2(X0)
| q_2_2(X0)
| q_1_1(X0) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f54,plain,
! [X0] :
( ~ p_1_3(X0)
| p_2_3(X0)
| ~ p_1_2(X0) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f55,plain,
! [X0] :
( ~ p_1_3(X0)
| ~ q_2_3(X0)
| q_1_2(X0) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f56,plain,
! [X0] :
( ~ p_2_3(X0)
| p_3_3(X0)
| p_2_2(X0) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f57,plain,
! [X0] :
( ~ p_2_3(X0)
| q_3_3(X0)
| q_2_2(X0) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f58,plain,
! [X0] :
( ~ q_1_2(X0)
| p_2_2(X0)
| q_1_1(X0) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f59,plain,
! [X0] :
( ~ q_1_2(X0)
| q_2_2(X0)
| ~ p_1_1(X0) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f60,plain,
! [X0] :
( q_2_3(X0)
| p_3_3(X0)
| q_2_2(X0) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f61,plain,
! [X0] :
( q_2_3(X0)
| q_3_3(X0)
| p_2_2(X0) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f62,plain,
! [X0] :
( ~ q_1_1(X0)
| q_1_2(X0) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f63,plain,
! [X0] :
( ~ p_2_2(X0)
| ~ p_1_2(X0) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f64,plain,
! [X0] :
( ~ p_3_3(X0)
| p_2_3(X0) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f65,plain,
! [X0] :
( ~ q_2_2(X0)
| q_1_2(X0) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f66,plain,
! [X0] :
( ~ q_3_3(X0)
| ~ q_2_3(X0) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f67,plain,
~ q_1_1(a),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f68,plain,
~ p_2_2(a),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f69,plain,
~ q_2_2(a),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f70,plain,
~ p_3_3(a),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f71,plain,
~ q_3_3(a),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f72,plain,
! [X0] : ~ sym_p_1_3(X0),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f73,plain,
! [X0] :
( ~ sym_p_1_2(X0)
| ~ sym_p_2_2(X0)
| sym_p_1_1(X0) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f74,plain,
! [X0] :
( sym_p_1_3(X0)
| ~ sym_p_2_3(X0)
| sym_p_1_2(X0) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f75,plain,
! [X0] :
( sym_p_1_3(X0)
| ~ sym_q_2_3(X0)
| sym_q_1_2(X0) ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f76,plain,
! [X0] :
( sym_p_2_3(X0)
| sym_p_3_3(X0)
| ~ sym_p_2_2(X0) ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f77,plain,
! [X0] :
( sym_p_2_3(X0)
| ~ sym_q_3_3(X0)
| sym_q_2_2(X0) ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f78,plain,
! [X0] :
( ~ sym_q_1_2(X0)
| ~ sym_p_2_2(X0)
| sym_q_1_1(X0) ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f79,plain,
! [X0] :
( sym_q_2_3(X0)
| sym_p_3_3(X0)
| sym_q_2_2(X0) ),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f80,plain,
! [X0] :
( sym_q_2_3(X0)
| ~ sym_q_3_3(X0)
| ~ sym_p_2_2(X0) ),
inference(consistent_polarity_flipping,[],[f38]) ).
fof(f81,plain,
! [X0] :
( sym_p_2_2(X0)
| sym_p_1_2(X0) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f82,plain,
! [X0] :
( ~ sym_p_3_3(X0)
| ~ sym_p_2_3(X0) ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f83,plain,
! [X0] :
( sym_q_3_3(X0)
| ~ sym_q_2_3(X0) ),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f84,plain,
sym_p_2_2(a),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f85,plain,
sym_q_3_3(a),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f98,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f51,f52,f53,f54,f55,f56,f57,f58,f59,f60,f61,f14,f62,f63,f64,f65,f66,f20,f67,f68,f69,f70,f71,f72,f73,f28,f74,f75,f76,f77,f78,f34,f79,f80,f39,f40,f81,f82,f43,f83,f45,f46,f84,f48,f49,f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN099-1.003 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n002.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:35:52 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.25 % (455485)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (455496)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1931400133_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.25 % Detected minimum model sizes of [1]
% 0.08/0.25 % Detected maximum model sizes of [1]
% 0.08/0.25 % TRYING [1]
% 0.08/0.25 % (455496) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-455485-455496"...
% 0.08/0.25 % (455496)...printing done.
% 0.08/0.25 % (455496)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (455496)------------------------------
% 0.08/0.25 % (455496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (455496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (455496)CaDiCaL version: 2.1.3
% 0.08/0.25 % (455496)Termination reason: Refutation
% 0.08/0.25 % (455496)Time elapsed: 0.001 s
% 0.08/0.25 % (455496)Peak memory usage: 11 MB
% 0.08/0.25 % (455496)Instructions burned: 3 (million)
% 0.08/0.25 % (455485)Success in time 0.017 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------