%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN071-1 : TPTP v9.3.1. Released v1.0.0.
% 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 01:49:14 PM UTC 2026
% Result : Unsatisfiable 3.58s 1.23s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 8 unt; 4 def)
% Number of atoms : 73 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 76 ( 41 ~; 31 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( a = b
| c = d ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
( a = c
| b = d ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
a != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
b != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f6,definition,
( spl0_1
<=> c = d ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f7,plain,
( c = d
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f6]) ).
fof(f9,definition,
( spl0_2
<=> a = b ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f10,plain,
( a = b
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f11,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f1,f9,f6]) ).
fof(f13,definition,
( spl0_3
<=> b = d ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f14,plain,
( b = d
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f16,definition,
( spl0_4
<=> a = c ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f17,plain,
( a = c
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f18,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f2,f16,f13]) ).
fof(f19,plain,
( a != b
| ~ spl0_3 ),
inference(superposition,[],[f3,f14]) ).
fof(f20,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f19,f10]) ).
fof(f21,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f20]) ).
fof(f22,plain,
( b = c
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f7,f14]) ).
fof(f24,plain,
( a != c
| ~ spl0_1 ),
inference(superposition,[],[f3,f7]) ).
fof(f27,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f22,f4]) ).
fof(f28,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f27]) ).
fof(f29,plain,
( a != b
| ~ spl0_4 ),
inference(superposition,[],[f4,f17]) ).
fof(f30,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f29,f10]) ).
fof(f31,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f30]) ).
fof(f32,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f24,f17]) ).
fof(f33,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f32]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f11]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f18]) ).
cnf(s3,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f21]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f28]) ).
cnf(s6,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f31]) ).
cnf(s7,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f33]) ).
cnf(s8,plain,
~ spl0_2,
inference(rat,[],[s2,s3,s6]) ).
cnf(s9,plain,
spl0_1,
inference(rat,[],[s1,s8]) ).
cnf(s10,plain,
~ spl0_4,
inference(rat,[],[s7,s9]) ).
cnf(s11,plain,
~ spl0_3,
inference(rat,[],[s5,s9]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s2,s10,s11]) ).
fof(f34,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN071-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n004.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 15:29:44 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.27 Running first-order theorem proving
% 0.19/0.27 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
% 3.58/1.23 % (458173)Input is clausal, will run a generic CNF schedule.
% 3.58/1.23 % (458179)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=429047369:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.58/1.23 % (458182)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1337977524:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.58/1.23 % (458178)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=864962094:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.58/1.23 % (458181)lrs+10_1_sil=8000:sp=occurrence:random_seed=3777231924:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.58/1.23 % (458180)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2349788623:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.58/1.23 % (458184)dis-21_1_sil=8000:lcm=predicate:random_seed=3848234123: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)
% 3.58/1.23 % (458184)Refutation not found, incomplete strategy
% 3.58/1.23 % (458184)------------------------------
% 3.58/1.23 % (458184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.23 % (458184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.23 % (458184)CaDiCaL version: 2.1.3
% 3.58/1.23 % (458184)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.23 % (458184)Time elapsed: 0.001 s
% 3.58/1.23 % (458184)Peak memory usage: 88 MB
% 3.58/1.23 % (458181)Also succeeded, but the first one will report.
% 3.58/1.23 % (458182)First to succeed.
% 3.58/1.23 % (458182)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-458173"
% 3.58/1.23 % (458183)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3584274491:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.58/1.23 % (458183)Also succeeded, but the first one will report.
% 3.58/1.23 [W928 15:29:45.565287687 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.58/1.23 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.58/1.23 [W928 15:29:45.565325192 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.58/1.23 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.58/1.23 [W928 15:29:45.565355464 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.58/1.23 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.58/1.23 [W928 15:29:45.565361278 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.58/1.23 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.58/1.23 [W928 15:29:45.565374479 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.58/1.23 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.58/1.23 [W928 15:29:45.565379758 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.58/1.23 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.58/1.23 % (458184)------------------------------
% 3.58/1.23 % (458184)------------------------------
% 3.58/1.23 % (458182)Refutation found. Thanks to Tanya!
% 3.58/1.23 % SZS status Unsatisfiable for theBenchmark
% 3.58/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.23 % (458182)------------------------------
% 3.58/1.23 % (458182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.23 % (458182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.23 % (458182)CaDiCaL version: 2.1.3
% 3.58/1.23 % (458182)Termination reason: Refutation
% 3.58/1.23 % (458182)Time elapsed: 0.002 s
% 3.58/1.23 % (458182)Peak memory usage: 89 MB
% 3.58/1.23 % (458182)Instructions burned: 1 (million)
% 3.58/1.23 % (458182)------------------------------
% 3.58/1.23 % (458182)------------------------------
% 3.58/1.23 % (458173)Success in time 0.426 s
% 3.58/1.23 % Vampire exiting
%------------------------------------------------------------------------------