%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN074-1 : 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 : 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 01:49:15 PM UTC 2026
% Result : Unsatisfiable 0.18s 1.30s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 9 unt; 2 def)
% Number of atoms : 98 ( 47 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 108 ( 52 ~; 54 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ big_f(X0,X1)
| X0 = a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| a = X0 ),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ big_f(X0,X1)
| X1 = b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f4,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| b = X1 ),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] :
( X0 != a
| X1 != b
| big_f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f6,plain,
! [X0,X1] :
( a != X0
| b != X1
| big_f(X0,X1) ),
inference(reorient_equations,[],[f5]) ).
fof(f15,negated_conjecture,
! [X0,X1] :
( X0 != g(X1)
| big_f(f(X1),X0)
| f(X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f16,plain,
! [X0,X1] :
( g(X1) != X0
| big_f(f(X1),X0)
| f(X1) = X1 ),
inference(reorient_equations,[],[f15]) ).
fof(f19,negated_conjecture,
! [X0,X1] :
( f(X0) != X0
| big_f(f(X0),h(X0,X1))
| h(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f20,negated_conjecture,
! [X0,X1] :
( ~ big_f(f(X0),h(X0,X1))
| h(X0,X1) != X1
| f(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f21,plain,
! [X1] :
( b != X1
| big_f(a,X1) ),
inference(equality_resolution,[],[f6]) ).
fof(f22,plain,
big_f(a,b),
inference(equality_resolution,[],[f21]) ).
fof(f24,plain,
! [X1] :
( big_f(f(X1),g(X1))
| f(X1) = X1 ),
inference(equality_resolution,[],[f16]) ).
fof(f33,plain,
! [X0] :
( a = f(X0)
| f(X0) = X0 ),
inference(resolution,[],[f2,f24]) ).
fof(f48,plain,
! [X0] :
( a != X0
| f(X0) = X0 ),
inference(equality_factoring,[],[f33]) ).
fof(f53,plain,
a = f(a),
inference(equality_resolution,[],[f48]) ).
fof(f64,plain,
! [X0] :
( a != a
| big_f(a,h(a,X0))
| h(a,X0) = X0 ),
inference(superposition,[],[f19,f53]) ).
fof(f70,plain,
! [X0] :
( big_f(a,h(a,X0))
| h(a,X0) = X0 ),
inference(trivial_inequality_removal,[],[f64]) ).
fof(f80,definition,
( spl0_3
<=> ! [X0] :
( big_f(a,h(a,X0))
| h(a,X0) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f81,plain,
( ! [X0] :
( big_f(a,h(a,X0))
| h(a,X0) = X0 )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f84,plain,
spl0_3,
inference(avatar_split_clause,[],[f70,f80]) ).
fof(f112,plain,
( ! [X0] :
( b = h(a,X0)
| h(a,X0) = X0 )
| ~ spl0_3 ),
inference(resolution,[],[f81,f4]) ).
fof(f126,plain,
( ! [X0] :
( ~ big_f(f(a),b)
| b != X0
| a != f(a)
| h(a,X0) = X0 )
| ~ spl0_3 ),
inference(superposition,[],[f20,f112]) ).
fof(f128,plain,
( ! [X0] :
( ~ big_f(f(a),b)
| b != X0
| h(a,X0) = X0 )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f126,f2]) ).
fof(f133,plain,
( ! [X0] :
( ~ big_f(a,b)
| b != X0
| h(a,X0) = X0 )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f128,f53]) ).
fof(f137,plain,
( ! [X0] :
( b != X0
| h(a,X0) = X0 )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f133,f22]) ).
fof(f141,definition,
( spl0_5
<=> ! [X0] :
( b != X0
| h(a,X0) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f142,plain,
( ! [X0] :
( b != X0
| h(a,X0) = X0 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f148,plain,
( spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f137,f80,f141]) ).
fof(f152,plain,
( b = h(a,b)
| ~ spl0_5 ),
inference(equality_resolution,[],[f142]) ).
fof(f157,plain,
( ~ big_f(f(a),b)
| b != b
| a != f(a)
| ~ spl0_5 ),
inference(superposition,[],[f20,f152]) ).
fof(f158,plain,
( ~ big_f(f(a),b)
| a != f(a)
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f157]) ).
fof(f163,plain,
( ~ big_f(f(a),b)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f158,f2]) ).
fof(f169,plain,
( ~ big_f(a,b)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f163,f53]) ).
fof(f173,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f169,f22]) ).
fof(f174,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f173]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f84]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f148]) ).
cnf(s14,plain,
~ spl0_5,
inference(sat_conversion,[],[f174]) ).
cnf(s21,plain,
~ spl0_3,
inference(rat,[],[s8,s14]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s4,s21]) ).
fof(f180,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN074-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n004.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:31:52 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 0.18/1.30 % (460675)Input is clausal, will run a generic CNF schedule.
% 0.18/1.30 % (460683)lrs+10_1_sil=8000:sp=occurrence:random_seed=626212910:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.18/1.30 % (460683)Refutation not found, incomplete strategy
% 0.18/1.30 % (460683)------------------------------
% 0.18/1.30 % (460683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.30 % (460683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.30 % (460683)CaDiCaL version: 2.1.3
% 0.18/1.30 % (460683)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.30 % (460683)Time elapsed: 0.001 s
% 0.18/1.30 % (460683)Peak memory usage: 88 MB
% 0.18/1.30 % (460684)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3006378367:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.18/1.30 % (460681)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1923625856:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.18/1.30 % (460682)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=871344886:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.18/1.30 % (460680)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=2370582378:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.18/1.30 % (460685)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=201198970:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.18/1.30 % (460685)First to succeed.
% 0.18/1.30 % (460685)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-460675"
% 0.18/1.30 % (460686)dis-21_1_sil=8000:lcm=predicate:random_seed=373675536: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)
% 0.18/1.30 % (460684)Instruction limit reached!
% 0.18/1.30 % (460684)------------------------------
% 0.18/1.30 % (460684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.30 % (460684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.30 % (460684)CaDiCaL version: 2.1.3
% 0.18/1.30 % (460684)Termination reason: Instruction limit
% 0.18/1.30 % (460684)Termination phase: Saturation
% 0.18/1.30 % (460684)Time elapsed: 0.063 s
% 0.18/1.30 % (460684)Peak memory usage: 87 MB
% 0.18/1.30 % (460684)Instructions burned: 116 (million)
% 0.18/1.30 % (460686)Instruction limit reached!
% 0.18/1.30 % (460686)------------------------------
% 0.18/1.30 % (460686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.30 % (460686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.30 % (460686)CaDiCaL version: 2.1.3
% 0.18/1.30 % (460686)Termination reason: Instruction limit
% 0.18/1.30 % (460686)Termination phase: Saturation
% 0.18/1.30 % (460686)Time elapsed: 0.063 s
% 0.18/1.30 % (460686)Peak memory usage: 88 MB
% 0.18/1.30 % (460686)Instructions burned: 118 (million)
% 0.18/1.30 % (460683)------------------------------
% 0.18/1.30 % (460683)------------------------------
% 0.18/1.30 % (460694)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3346202384:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.18/1.30 % (460694)Also succeeded, but the first one will report.
% 0.18/1.30 % (460696)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2707961368:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.18/1.30 % (460696)Refutation not found, incomplete strategy
% 0.18/1.30 % (460696)------------------------------
% 0.18/1.30 % (460696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.30 % (460696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.30 % (460696)CaDiCaL version: 2.1.3
% 0.18/1.30 % (460696)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.30 % (460696)Time elapsed: 0.001 s
% 0.18/1.30 % (460696)Peak memory usage: 88 MB
% 0.18/1.30 % (460696)Instructions burned: 1 (million)
% 0.18/1.30 % (460695)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2098516845:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 0.18/1.30 % (460695)Refutation not found, incomplete strategy
% 0.18/1.30 % (460695)------------------------------
% 0.18/1.30 % (460695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.30 % (460695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.30 % (460695)CaDiCaL version: 2.1.3
% 0.18/1.30 % (460695)Termination reason: Refutation not found, incomplete strategy
% 0.18/1.30 % (460695)Time elapsed: 0.002 s
% 0.18/1.30 % (460695)Peak memory usage: 88 MB
% 0.18/1.30 % (460695)Instructions burned: 1 (million)
% 0.18/1.30 % (460685)Refutation found. Thanks to Tanya!
% 0.18/1.30 % SZS status Unsatisfiable for theBenchmark
% 0.18/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.30 % (460685)------------------------------
% 0.18/1.30 % (460685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.30 % (460685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.30 % (460685)CaDiCaL version: 2.1.3
% 0.18/1.30 % (460685)Termination reason: Refutation
% 0.18/1.30 % (460685)Time elapsed: 0.006 s
% 0.18/1.30 % (460685)Peak memory usage: 89 MB
% 0.18/1.30 % (460685)Instructions burned: 6 (million)
% 0.18/1.30 % (460685)------------------------------
% 0.18/1.30 % (460685)------------------------------
% 0.18/1.30 % (460675)Success in time 0.417 s
% 0.18/1.30 % Vampire exiting
%------------------------------------------------------------------------------