%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT268-1 : 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 : n005.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 4.36s 1.66s
% Output : Refutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 47 ( 5 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 54 ( 29 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-4 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( c_in(c_Pair(X0,c_Tarski_Olub(X1,X3,X2),X2,X2),c_Tarski_Opotype_Oorder(X3,X2,tc_Product__Type_Ounit),tc_prod(X2,X2))
| ~ c_in(X3,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(X3,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_lessequals(X1,c_Tarski_Opotype_Opset(X3,X2,tc_Product__Type_Ounit),tc_set(X2))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__upper_0) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X2),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X3,X2),X2,tc_Product__Type_Ounit),tc_prod(X2,X2))
| c_in(c_Pair(X1,X0,X2,X2),c_Tarski_Opotype_Oorder(X3,X2,tc_Product__Type_Ounit),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0) ).
fof(f9,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).
fof(f10,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).
fof(f11,axiom,
! [X2,X0,X1] : c_Tarski_Oglb(X0,X1,X2) = c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).
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/sandbox2/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(f14,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f3332,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3333,negated_conjecture,
c_in(v_x,v_S,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3334,negated_conjecture,
~ c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3335,plain,
~ c_in(c_Pair(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(definition_unfolding,[],[f3334,f11]) ).
fof(f3368,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Tarski_Odual(X0,X1),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(X0,X1),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ~ c_lessequals(X2,c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit),tc_set(X1))
| ~ c_in(X3,X2,X1)
| c_in(c_Pair(c_Tarski_Olub(X2,c_Tarski_Odual(X0,X1),X1),X3,X1,X1),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),tc_prod(X1,X1)) ),
inference(resolution,[],[f2,f3]) ).
fof(f3373,plain,
! [X2,X3,X0,X1] :
( c_in(c_Pair(c_Tarski_Olub(X2,c_Tarski_Odual(X0,X1),X1),X3,X1,X1),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),tc_prod(X1,X1))
| ~ c_in(c_Tarski_Odual(X0,X1),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(X0,X1),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ~ c_in(X3,X2,X1)
| ~ c_lessequals(X2,c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),tc_set(X1)) ),
inference(forward_demodulation,[],[f3368,f13]) ).
fof(f3384,plain,
! [X0,X1] :
( c_in(c_Pair(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(X1,X0,t_a)
| ~ c_lessequals(X0,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)) ),
inference(superposition,[],[f3373,f14]) ).
fof(f3387,plain,
! [X0,X1] :
( c_in(c_Pair(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(X1,X0,t_a)
| ~ c_lessequals(X0,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)) ),
inference(forward_subsumption_resolution,[],[f3384,f9]) ).
fof(f3389,plain,
! [X0,X1] :
( c_in(c_Pair(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X1,X0,t_a)
| ~ c_lessequals(X0,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)) ),
inference(forward_subsumption_resolution,[],[f3387,f10]) ).
fof(f3390,plain,
! [X0,X1] :
( c_in(c_Pair(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X0,v_A,tc_set(t_a))
| ~ c_in(X1,X0,t_a) ),
inference(forward_demodulation,[],[f3389,f1]) ).
fof(f3392,plain,
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_x,v_S,t_a) ),
inference(resolution,[],[f3390,f3335]) ).
fof(f3393,plain,
~ c_in(v_x,v_S,t_a),
inference(forward_subsumption_resolution,[],[f3392,f3332]) ).
fof(f3394,plain,
$false,
inference(forward_subsumption_resolution,[],[f3393,f3333]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT268-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n005.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 14:09:17 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 4.36/1.66 % (4024468)Input is clausal, will run a generic CNF schedule.
% 4.36/1.66 % (4024535)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=2186845454:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.36/1.66 % (4024538)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=520766968:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.36/1.66 % (4024536)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3367252935:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.36/1.66 % (4024540)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2811653406:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.36/1.66 % (4024539)lrs+10_1_sil=8000:sp=occurrence:random_seed=1009127122:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.36/1.66 % (4024541)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1383736722:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.36/1.66 % (4024539)First to succeed.
% 4.36/1.66 % (4024539)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4024468"
% 4.36/1.66 % (4024542)dis-21_1_sil=8000:lcm=predicate:random_seed=3192745290: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)
% 4.36/1.66 % (4024541)Also succeeded, but the first one will report.
% 4.36/1.66 % (4024540)Instruction limit reached!
% 4.36/1.66 % (4024540)------------------------------
% 4.36/1.66 % (4024540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.66 % (4024540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.66 % (4024540)CaDiCaL version: 2.1.3
% 4.36/1.66 % (4024540)Termination reason: Instruction limit
% 4.36/1.66 % (4024540)Termination phase: Saturation
% 4.36/1.66 % (4024540)Time elapsed: 0.071 s
% 4.36/1.66 % (4024540)Peak memory usage: 90 MB
% 4.36/1.66 % (4024540)Instructions burned: 114 (million)
% 4.36/1.66 % (4024542)Instruction limit reached!
% 4.36/1.66 % (4024542)------------------------------
% 4.36/1.66 % (4024542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.66 % (4024542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.66 % (4024542)CaDiCaL version: 2.1.3
% 4.36/1.66 % (4024542)Termination reason: Instruction limit
% 4.36/1.66 % (4024542)Termination phase: Saturation
% 4.36/1.66 % (4024542)Time elapsed: 0.065 s
% 4.36/1.66 % (4024542)Peak memory usage: 90 MB
% 4.36/1.66 % (4024542)Instructions burned: 118 (million)
% 4.36/1.66 % (4024565)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=1915281882:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 4.36/1.66 % (4024565)Refutation not found, incomplete strategy
% 4.36/1.66 % (4024565)------------------------------
% 4.36/1.66 % (4024565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.66 % (4024565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.66 % (4024565)CaDiCaL version: 2.1.3
% 4.36/1.66 % (4024565)Termination reason: Refutation not found, incomplete strategy
% 4.36/1.66 % (4024565)Time elapsed: 0.008 s
% 4.36/1.66 % (4024565)Peak memory usage: 90 MB
% 4.36/1.66 % (4024565)Instructions burned: 9 (million)
% 4.36/1.66 % (4024566)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2330570076:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 4.36/1.66 % (4024539)Refutation found. Thanks to Tanya!
% 4.36/1.66 % SZS status Unsatisfiable for theBenchmark
% 4.36/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 4.36/1.66 % (4024539)------------------------------
% 4.36/1.66 % (4024539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.66 % (4024539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.66 % (4024539)CaDiCaL version: 2.1.3
% 4.36/1.66 % (4024539)Termination reason: Refutation
% 4.36/1.66 % (4024539)Time elapsed: 0.011 s
% 4.36/1.66 % (4024539)Peak memory usage: 90 MB
% 4.36/1.66 % (4024539)Instructions burned: 12 (million)
% 4.36/1.66 % (4024539)------------------------------
% 4.36/1.66 % (4024539)------------------------------
% 4.36/1.66 % (4024468)Success in time 0.6 s
% 4.36/1.66 % Vampire exiting
%------------------------------------------------------------------------------