%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN075-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 02:06:41 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.24s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 4 unt; 0 def)
% Number of atoms : 57 ( 35 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 63 ( 31 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ big_f(X0,X1)
| X0 = a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| a = X0 ),
inference(reorient_equations,[],[f1]) ).
fof(f5,axiom,
! [X0,X1] :
( X0 != a
| X1 != b
| big_f(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f6,plain,
! [X0,X1] :
( a != X0
| b != X1
| big_f(X0,X1) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( ~ big_f(X0,f(X1))
| X0 != g(X1)
| f(X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f8,plain,
! [X0,X1] :
( ~ big_f(X0,f(X1))
| g(X1) != X0
| f(X1) = X1 ),
inference(reorient_equations,[],[f7]) ).
fof(f11,negated_conjecture,
! [X0,X1] :
( X0 != g(X1)
| big_f(X0,f(X1))
| f(X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f12,plain,
! [X0,X1] :
( g(X1) != X0
| big_f(X0,f(X1))
| f(X1) = X1 ),
inference(reorient_equations,[],[f11]) ).
fof(f17,negated_conjecture,
! [X0,X1] :
( big_f(h(X0,X1),f(X0))
| f(X0) != X0
| h(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( ~ big_f(h(X0,X1),f(X0))
| h(X0,X1) != X1
| f(X0) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f19,plain,
! [X1] :
( b != X1
| big_f(a,X1) ),
inference(equality_resolution,[],[f6]) ).
fof(f20,plain,
big_f(a,b),
inference(equality_resolution,[],[f19]) ).
fof(f21,plain,
! [X1] :
( ~ big_f(g(X1),f(X1))
| f(X1) = X1 ),
inference(equality_resolution,[],[f8]) ).
fof(f22,plain,
! [X1] :
( big_f(g(X1),f(X1))
| f(X1) = X1 ),
inference(equality_resolution,[],[f12]) ).
fof(f25,plain,
! [X1] : f(X1) = X1,
inference(forward_subsumption_resolution,[],[f21,f22]) ).
fof(f26,plain,
! [X0,X1] :
( big_f(h(X0,X1),X0)
| X0 != X0
| h(X0,X1) = X1 ),
inference(superposition,[],[f17,f25]) ).
fof(f27,plain,
! [X0,X1] :
( big_f(h(X0,X1),X0)
| h(X0,X1) = X1 ),
inference(trivial_inequality_removal,[],[f26]) ).
fof(f29,plain,
! [X0,X1] :
( ~ big_f(h(X0,X1),X0)
| h(X0,X1) != X1
| X0 != X0 ),
inference(superposition,[],[f18,f25]) ).
fof(f30,plain,
! [X0,X1] :
( ~ big_f(h(X0,X1),X0)
| h(X0,X1) != X1 ),
inference(trivial_inequality_removal,[],[f29]) ).
fof(f42,plain,
! [X0,X1] :
( a = h(X0,X1)
| h(X0,X1) = X1 ),
inference(resolution,[],[f2,f27]) ).
fof(f53,plain,
! [X0,X1] :
( h(X0,X1) = X1
| a != X1 ),
inference(equality_factoring,[],[f42]) ).
fof(f89,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| X0 != X0
| a != X0 ),
inference(superposition,[],[f30,f53]) ).
fof(f90,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| a != X0 ),
inference(trivial_inequality_removal,[],[f89]) ).
fof(f93,plain,
! [X0,X1] : ~ big_f(X0,X1),
inference(forward_subsumption_resolution,[],[f90,f2]) ).
fof(f100,plain,
$false,
inference(resolution,[],[f93,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN075-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n007.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 15:29:41 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.24 % (2494732)Will run a generic schedule for satisfiability detection.
% 0.08/0.24 % (2494741)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3714689715:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.24 % (2494741) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2494732-2494741"...
% 0.08/0.24 % (2494741)...printing done.
% 0.08/0.24 % (2494738)% WARNING: option uhcvi not known.
% 0.08/0.24 % (2494741)Refutation found. Thanks to Tanya!
% 0.08/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.24 % (2494741)------------------------------
% 0.08/0.24 % (2494741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (2494741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (2494741)CaDiCaL version: 2.1.3
% 0.08/0.24 % (2494741)Termination reason: Refutation
% 0.08/0.24 % (2494741)Time elapsed: 0.001 s
% 0.08/0.24 % (2494741)Peak memory usage: 11 MB
% 0.08/0.24 % (2494741)Instructions burned: 3 (million)
% 0.08/0.24 % (2494732)Success in time 0.03 s
% 0.08/0.24 % Vampire exiting
%------------------------------------------------------------------------------