%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT266-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 11:46:26 AM UTC 2026
% Result : Unsatisfiable 4.42s 1.68s
% Output : Refutation 4.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 2 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 : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1] : c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).
fof(f13,plain,
! [X0,X1] : c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit),
inference(reorient_equations,[],[f12]) ).
fof(f3332,negated_conjecture,
c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3334,negated_conjecture,
~ c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3349,plain,
~ c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),
inference(superposition,[],[f3334,f13]) ).
fof(f3350,plain,
$false,
inference(forward_subsumption_resolution,[],[f3349,f3332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT266-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n015.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 14:12:30 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 4.42/1.68 % (1704268)Input is clausal, will run a generic CNF schedule.
% 4.42/1.68 % (1704302)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=4451172:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.42/1.68 % (1704307)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2349516778:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.42/1.68 % (1704303)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2668919016:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.42/1.68 % (1704304)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1337904908:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.42/1.68 % (1704305)lrs+10_1_sil=8000:sp=occurrence:random_seed=902925783:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.42/1.68 % (1704307)First to succeed.
% 4.42/1.68 % (1704307)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1704268"
% 4.42/1.68 % (1704305)Also succeeded, but the first one will report.
% 4.42/1.68 % (1704306)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2957927625:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.42/1.68 % (1704308)dis-21_1_sil=8000:lcm=predicate:random_seed=2997817646: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)
% 4.42/1.68 % (1704308)Instruction limit reached!
% 4.42/1.68 % (1704308)------------------------------
% 4.42/1.68 % (1704308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.68 % (1704308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.68 % (1704308)CaDiCaL version: 2.1.3
% 4.42/1.68 % (1704308)Termination reason: Instruction limit
% 4.42/1.68 % (1704308)Termination phase: Saturation
% 4.42/1.68 % (1704308)Time elapsed: 0.088 s
% 4.42/1.68 % (1704308)Peak memory usage: 90 MB
% 4.42/1.68 % (1704308)Instructions burned: 118 (million)
% 4.42/1.68 % (1704306)Instruction limit reached!
% 4.42/1.68 % (1704306)------------------------------
% 4.42/1.68 % (1704306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.68 % (1704306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.68 % (1704306)CaDiCaL version: 2.1.3
% 4.42/1.68 % (1704306)Termination reason: Instruction limit
% 4.42/1.68 % (1704306)Termination phase: Saturation
% 4.42/1.68 % (1704306)Time elapsed: 0.103 s
% 4.42/1.68 % (1704306)Peak memory usage: 90 MB
% 4.42/1.68 % (1704306)Instructions burned: 115 (million)
% 4.42/1.68 % (1704307)Refutation found. Thanks to Tanya!
% 4.42/1.68 % SZS status Unsatisfiable for theBenchmark
% 4.42/1.68 % SZS output start Proof for theBenchmark
% See solution above
% 4.42/1.68 % (1704307)------------------------------
% 4.42/1.68 % (1704307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.68 % (1704307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.68 % (1704307)CaDiCaL version: 2.1.3
% 4.42/1.68 % (1704307)Termination reason: Refutation
% 4.42/1.68 % (1704307)Time elapsed: 0.063 s
% 4.42/1.68 % (1704307)Peak memory usage: 90 MB
% 4.42/1.68 % (1704307)Instructions burned: 82 (million)
% 4.42/1.68 % (1704307)------------------------------
% 4.42/1.68 % (1704307)------------------------------
% 4.42/1.68 % (1704268)Success in time 0.61 s
% 4.42/1.68 % Vampire exiting
%------------------------------------------------------------------------------