%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV243-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 01:08:29 PM UTC 2026
% Result : Unsatisfiable 2.76s 1.01s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3189,axiom,
! [X0,X1] : c_union(X0,c_emptyset,X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__right_0) ).
fof(f3431,axiom,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(X0),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__synth__Un_0) ).
fof(f3433,negated_conjecture,
c_Message_Oanalz(c_Message_Osynth(v_H)) != c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3833,plain,
! [X0] : c_union(c_Message_Oanalz(X0),c_Message_Osynth(X0),tc_Message_Omsg) = c_Message_Oanalz(c_union(c_Message_Osynth(X0),c_emptyset,tc_Message_Omsg)),
inference(superposition,[],[f3431,f3189]) ).
fof(f3851,plain,
! [X0] : c_union(c_Message_Oanalz(X0),c_Message_Osynth(X0),tc_Message_Omsg) = c_Message_Oanalz(c_Message_Osynth(X0)),
inference(forward_demodulation,[],[f3833,f3189]) ).
fof(f4585,plain,
c_Message_Oanalz(c_Message_Osynth(v_H)) != c_Message_Oanalz(c_Message_Osynth(v_H)),
inference(superposition,[],[f3433,f3851]) ).
fof(f4593,plain,
$false,
inference(trivial_inequality_removal,[],[f4585]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV243-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n020.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 10:18:11 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 2.76/1.01 % (76284)Input is clausal, will run a generic CNF schedule.
% 2.76/1.01 % (76295)dis-21_1_sil=8000:lcm=predicate:random_seed=628854502: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)
% 2.76/1.01 % (76295)Instruction limit reached!
% 2.76/1.01 % (76295)------------------------------
% 2.76/1.01 % (76295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.01 % (76295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.01 % (76295)CaDiCaL version: 2.1.3
% 2.76/1.01 % (76295)Termination reason: Instruction limit
% 2.76/1.01 % (76295)Termination phase: Saturation
% 2.76/1.01 % (76295)Time elapsed: 0.035 s
% 2.76/1.01 % (76295)Peak memory usage: 91 MB
% 2.76/1.01 % (76295)Instructions burned: 117 (million)
% 2.76/1.01 % (76294)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1115521919:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.76/1.01 % (76291)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=32180711:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.76/1.01 % (76289)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=993389551:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.76/1.01 % (76292)lrs+10_1_sil=8000:sp=occurrence:random_seed=3757432082:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.76/1.01 % (76290)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=158577718:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.76/1.01 % (76293)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=321289351:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.76/1.01 % (76293)Instruction limit reached!
% 2.76/1.01 % (76293)------------------------------
% 2.76/1.01 % (76293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.01 % (76293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.01 % (76293)CaDiCaL version: 2.1.3
% 2.76/1.01 % (76293)Termination reason: Instruction limit
% 2.76/1.01 % (76293)Termination phase: Saturation
% 2.76/1.01 % (76293)Time elapsed: 0.073 s
% 2.76/1.01 % (76293)Peak memory usage: 91 MB
% 2.76/1.01 % (76293)Instructions burned: 114 (million)
% 2.76/1.01 % (76292)Instruction limit reached!
% 2.76/1.01 % (76292)------------------------------
% 2.76/1.01 % (76292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.01 % (76292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.01 % (76292)CaDiCaL version: 2.1.3
% 2.76/1.01 % (76292)Termination reason: Instruction limit
% 2.76/1.01 % (76292)Termination phase: Saturation
% 2.76/1.01 % (76292)Time elapsed: 0.075 s
% 2.76/1.01 % (76292)Peak memory usage: 90 MB
% 2.76/1.01 % (76292)Instructions burned: 107 (million)
% 2.76/1.01 % (76297)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=221993497:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.76/1.01 % (76297)Refutation not found, incomplete strategy
% 2.76/1.01 % (76297)------------------------------
% 2.76/1.01 % (76297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.01 % (76297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.01 % (76297)CaDiCaL version: 2.1.3
% 2.76/1.01 % (76297)Termination reason: Refutation not found, incomplete strategy
% 2.76/1.01 % (76297)Time elapsed: 0.005 s
% 2.76/1.01 % (76297)Peak memory usage: 90 MB
% 2.76/1.01 % (76297)Instructions burned: 14 (million)
% 2.76/1.01 % (76294)First to succeed.
% 2.76/1.01 % (76294)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-76284"
% 2.76/1.01 % (76305)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=579749577: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)
% 2.76/1.01 % (76306)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=577286729:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.76/1.01 % (76297)------------------------------
% 2.76/1.01 % (76297)------------------------------
% 2.76/1.01 % (76306)Refutation not found, incomplete strategy
% 2.76/1.01 % (76306)------------------------------
% 2.76/1.01 % (76306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.01 % (76306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.01 % (76306)CaDiCaL version: 2.1.3
% 2.76/1.01 % (76306)Termination reason: Refutation not found, incomplete strategy
% 2.76/1.01 % (76306)Time elapsed: 0.035 s
% 2.76/1.01 % (76306)Peak memory usage: 91 MB
% 2.76/1.01 % (76306)Instructions burned: 58 (million)
% 2.76/1.01 % (76305)Instruction limit reached!
% 2.76/1.01 % (76305)------------------------------
% 2.76/1.01 % (76305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.01 % (76305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.01 % (76305)CaDiCaL version: 2.1.3
% 2.76/1.01 % (76305)Termination reason: Instruction limit
% 2.76/1.01 % (76305)Termination phase: Saturation
% 2.76/1.01 % (76305)Time elapsed: 0.109 s
% 2.76/1.01 % (76305)Peak memory usage: 91 MB
% 2.76/1.01 % (76305)Instructions burned: 189 (million)
% 2.76/1.01 % (76294)Refutation found. Thanks to Tanya!
% 2.76/1.01 % SZS status Unsatisfiable for theBenchmark
% 2.76/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 2.76/1.01 % (76294)------------------------------
% 2.76/1.01 % (76294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.01 % (76294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.01 % (76294)CaDiCaL version: 2.1.3
% 2.76/1.01 % (76294)Termination reason: Refutation
% 2.76/1.01 % (76294)Time elapsed: 0.083 s
% 2.76/1.01 % (76294)Peak memory usage: 91 MB
% 2.76/1.01 % (76294)Instructions burned: 135 (million)
% 2.76/1.01 % (76294)------------------------------
% 2.76/1.01 % (76294)------------------------------
% 2.76/1.01 % (76284)Success in time 0.518 s
% 2.76/1.01 % Vampire exiting
%------------------------------------------------------------------------------