%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN075-1 : 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 3.47s 1.27s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 5 unt; 0 def)
% Number of atoms : 53 ( 32 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 54 ( 26 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 : 39 ( 39 !; 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(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(f7,negated_conjecture,
! [X0,X1] :
( ~ big_f(X0,f(X1))
| X0 != g(X1)
| f(X1) = X1 ),
file('/export/starexec/sandbox2/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/sandbox2/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] :
( f(X0) != X0
| big_f(h(X0,X1),f(X0))
| h(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( f(X0) != X0
| h(X0,X1) != X1
| ~ big_f(h(X0,X1),f(X0)) ),
file('/export/starexec/sandbox2/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,[],[f22,f21]) ).
fof(f26,plain,
! [X0,X1] :
( big_f(h(X0,X1),f(X0))
| h(X0,X1) = X1 ),
inference(forward_subsumption_resolution,[],[f17,f25]) ).
fof(f27,plain,
! [X0,X1] :
( big_f(h(X0,X1),X0)
| h(X0,X1) = X1 ),
inference(forward_demodulation,[],[f26,f25]) ).
fof(f28,plain,
! [X0,X1] :
( h(X0,X1) != X1
| ~ big_f(h(X0,X1),f(X0)) ),
inference(forward_subsumption_resolution,[],[f18,f25]) ).
fof(f29,plain,
! [X0,X1] :
( h(X0,X1) != X1
| ~ big_f(h(X0,X1),X0) ),
inference(forward_demodulation,[],[f28,f25]) ).
fof(f34,plain,
! [X0,X1] :
( a = h(X0,X1)
| h(X0,X1) = X1 ),
inference(resolution,[],[f2,f27]) ).
fof(f43,plain,
! [X0,X1] :
( a != X1
| h(X0,X1) = X1 ),
inference(equality_factoring,[],[f34]) ).
fof(f44,plain,
! [X0] : a = h(X0,a),
inference(equality_resolution,[],[f43]) ).
fof(f45,plain,
! [X0] :
( a != a
| ~ big_f(a,X0) ),
inference(superposition,[],[f29,f44]) ).
fof(f46,plain,
! [X0] : ~ big_f(a,X0),
inference(trivial_inequality_removal,[],[f45]) ).
fof(f48,plain,
$false,
inference(resolution,[],[f46,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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n004.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 15:31:37 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.47/1.27 % (460241)Input is clausal, will run a generic CNF schedule.
% 3.47/1.27 % (460252)dis-21_1_sil=8000:lcm=predicate:random_seed=4194221062: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)
% 3.47/1.27 % (460252)Refutation not found, incomplete strategy
% 3.47/1.27 % (460252)------------------------------
% 3.47/1.27 % (460252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.27 % (460252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.27 % (460252)CaDiCaL version: 2.1.3
% 3.47/1.27 % (460252)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.27 % (460252)Time elapsed: 0.002 s
% 3.47/1.27 % (460252)Peak memory usage: 88 MB
% 3.47/1.27 % (460252)Instructions burned: 3 (million)
% 3.47/1.27 % (460246)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=3591246560:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.47/1.27 % (460250)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1501749212:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.47/1.27 % (460249)lrs+10_1_sil=8000:sp=occurrence:random_seed=2004051401:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.47/1.27 % (460251)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=639125247:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.27 % (460247)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1364581126:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.47/1.27 % (460248)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4279621894:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.47/1.27 % (460249)Refutation not found, incomplete strategy
% 3.47/1.27 % (460249)------------------------------
% 3.47/1.27 % (460249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.27 % (460249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.27 % (460249)CaDiCaL version: 2.1.3
% 3.47/1.27 % (460249)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.27 % (460249)Time elapsed: 0.001 s
% 3.47/1.27 % (460250)Refutation not found, incomplete strategy
% 3.47/1.27 % (460250)------------------------------
% 3.47/1.27 % (460250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.27 % (460249)Peak memory usage: 88 MB
% 3.47/1.27 % (460250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.27 % (460250)CaDiCaL version: 2.1.3
% 3.47/1.27 % (460250)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.27 % (460250)Time elapsed: 0.001 s
% 3.47/1.27 % (460250)Peak memory usage: 88 MB
% 3.47/1.27 % (460251)First to succeed.
% 3.47/1.27 % (460251)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-460241"
% 3.47/1.27 % (460252)------------------------------
% 3.47/1.27 % (460252)------------------------------
% 3.47/1.27 % (460260)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=3010619030:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.47/1.27 % (460260)Also succeeded, but the first one will report.
% 3.47/1.27 % (460249)------------------------------
% 3.47/1.27 % (460249)------------------------------
% 3.47/1.27 % (460250)------------------------------
% 3.47/1.27 % (460250)------------------------------
% 3.47/1.27 % (460251)Refutation found. Thanks to Tanya!
% 3.47/1.27 % SZS status Unsatisfiable for theBenchmark
% 3.47/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.27 % (460251)------------------------------
% 3.47/1.27 % (460251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.27 % (460251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.27 % (460251)CaDiCaL version: 2.1.3
% 3.47/1.27 % (460251)Termination reason: Refutation
% 3.47/1.27 % (460251)Time elapsed: 0.002 s
% 3.47/1.27 % (460251)Peak memory usage: 88 MB
% 3.47/1.27 % (460251)Instructions burned: 2 (million)
% 3.47/1.27 % (460251)------------------------------
% 3.47/1.27 % (460251)------------------------------
% 3.47/1.27 % (460241)Success in time 0.408 s
% 3.47/1.27 % Vampire exiting
%------------------------------------------------------------------------------